微积分
极限、导数、最优化与函数性质。
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part 3 of 4 we can plot several \strategic\ points as an outline for th…
The point $(0, 0)$ on $f$ corresponds to $(-1, -3)$ on $g$. The point $(1, 1)$ on $f$ corresponds to $(0, -2)$ on $g$. The point $(9, 3)$ on $f$ corresponds to $(8, 0)$ on $g$.
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use translations to graph the given function. $g(x) = \\sqrt{x + 1} - 3…
$f(x) = \sqrt{x}$
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use translations to graph the given function. $t(x)=\\sqrt3{x + 2}$
The graph of $t(x)=\sqrt[3]{x+2}$ is the graph of the parent cube root function shifted 2 units to the left, passing through the points $(-10, -2), (-3, -1), (-2, 0), (-1, 1), (6,…
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use translations to graph the given function. $g(x) = \\sqrt{x - 2}$
The graph of $g(x)=\sqrt{x-2}$ is the graph of $y=\sqrt{x}$ shifted 2 units to the right, passing through the points $(2,0)$, $(3,1)$, $(6,2)$, and $(11,3)$, with a domain of $x\g…
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use translations to graph the given function. $g(x)=\\frac{1}{x}-3$
The graph of $g(x)=\frac{1}{x}-3$ is the graph of $y=\frac{1}{x}$ shifted vertically downward by 3 units. Its vertical asymptote is $x=0$ and horizontal asymptote is $y=-3$, with …
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from memory match the equation with its graph. $f(x)=\\sqrt{x}$
The graph in the bottom-left corner (the curve starting at the origin $(0,0)$ and increasing slowly for non-negative $x$ values)
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identify the type of function represented by $f(x) = \\frac{3}{8}(4)^x$…
C. Exponential growth
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use the function below to find ( f(4) ). ( f(x) = \frac{1}{3} cdot 4^x …
C. \( \frac{256}{3} \)
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use the function below to find $f(-2)$. $f(x) = 5^x$ a. $\frac{1}{25}$ …
A. \(\frac{1}{25}\)
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a function has a constant halving time. what type of function does this…
B. Exponential decay
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9. here is a function: $f(x) = 3x^3 - 2$ a) write an equation for the i…
\( f^{-1}(x) = \sqrt[3]{\frac{x + 2}{3}} \) ### Part (b)
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7. draw a graph of the function ( f(x)=sqrt{x + 3} ) include a table of…
The parent function is \( g(x)=\sqrt{x} \) with the table as shown above. The graph of \( f(x)=\sqrt{x + 3} \) is the graph of \( g(x)=\sqrt{x} \) shifted 3 units to the left. The…
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6. the graph of $y = \\sqrt{x}$ is reflected over the x - axis, right 4…
\(y =-\sqrt{x - 4}+5\) (the last option: \(y =-\sqrt{x - 4}+5\))
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5. draw a graph of the function. then determine which of the following …
- There is an y - intercept at \(y = 1\) (the option: There is an y - intercept at \(y = 1\)) - There is an x - intercept at \(x=-3\) (the option: There is an x - intercept at \(x…
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evaluate this integral by using a substitu\\(\\int_{0}^{3} x\\sqrt{3 - …
$\frac{12\sqrt{3}}{5}$
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which functions are invertible? select each correct answer.
1. The linear function (top-left graph) 2. The increasing curve function (top-right graph) 3. The two-ray function (bottom-right graph)
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question 8 of 10 solve the system of equations below by graphing both e…
B. (1, -1)
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on a piece of paper, graph the system of equations. then determine whic…
A. The solution is \((3, - 2)\)
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3.5.3 quiz: two - variable systems: graphing gina made tables of values…
D. (0.9, 2.4)
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graph the system of equations below on a piece of paper. what is the so…
D. (2, 1)
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2. what is the inverse function of \\( f(x) = x^2 + 4 \\)
If \( f(x)=x^{2}+4 \) has a domain of \( x\geq0 \), then the inverse function is \( f^{-1}(x)=\sqrt{x - 4},x\geq4 \); if the domain of \( f(x) \) is \( x\leq0 \), the inverse func…
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graph these equations: y = -x + 4 y = 6 click to select points on the g…
1. For $y=-x+4$: Plot points $(0, 4)$ and $(4, 0)$, then draw a straight line through them. 2. For $y=6$: Plot points like $(0, 6)$ and $(5, 6)$, then draw a horizontal straight l…
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read to unlock meaning reading strategy close read model positive diffe…
To paraphrase the bulleted points: ### Paragraph 12 (Bullet 1) Original: Start with parent training. Parents need to be made aware of the negative impact of the video games they m…
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evaluate this integral by using a substitution prior to \\(\\int_{0}^{2…
$\frac{16\sqrt{2}}{15}$
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7. the following is an example of which section of a print advertisemen…
C. a call to action
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2. how has e - commerce affected product pricing? businesses had to sta…
A. Businesses had to start price matching to keep up with competitors.
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part b solve the system of equations by graphing. graph both equations …
La solución del sistema de ecuaciones es \( x = -2 \) y \( y = 2 \), es decir, el punto \( (-2, 2) \).
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read the quotation from \song of myself.\ i know i have the best of tim…
It reflects Whitman's ideas about the unlimited capacity of the self.
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find the slope of the line graphed below.
\( -\frac{1}{2} \)
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what is the equation of the function graphed? \\(\\bigcirc\\) equation …
B. \( G(x)=\frac{2}{x - 4} \)
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what is the equation of the function graphed? \\( g(x) = -3|x + 6| \\) …
\(G(x)=-3|x - 6|\)
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4.4.1 study: transformation of parent functions what is the equation of…
\( F(x)=(x + 3)^{2} \) (the option corresponding to this equation, e.g., if the third option is \( F(x)=(x + 3)^{2} \), then the answer is the option with \( F(x)=(x + 3)^{2} \))
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huck is an unreliable narrator which means select one: a. the story is …
1. d. All of the above 2. b. When Tom reveals Jim has been free all along
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transforming parent functions what is the equation of the function grap…
\( \boldsymbol{F(x)=x^{2}+3} \) (corresponding to the first option: \( F(x)=x^{2}+3 \))
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9 when you multiply a function by -1, what is the effect on its graph? …
A. The graph flips over the x - axis
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suppose that ( f(x) = x^2 ) and ( g(x) = 4x^2 - 2 ). which statement be…
B. The graph of \( G(x) \) is the graph of \( F(x) \) stretched vertically and shifted 2 units down
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suppose that ( f(x) = x^2 ) and ( g(x) = -\frac{1}{4}(x + 7)^2 ). which…
A. The graph of \( G(x) \) is the graph of \( F(x) \) compressed vertically, flipped over the \( x \) - axis, and shifted 7 units to the left.
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which of the following is an accurate comparison of the russian nobilit…
C. In France, monarchs limited the power of the nobles while in Russia Catherine reformed their education to bring them into the modern age.
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the graph of f(x), shown below, resembles the graph of g(x) = x², but i…
B. \( F(x) = 0.6x^2 - 2 \)
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the graph of f(x), shown below, resembles the graph of g(x) = x², but i…
B. \( F(x) = -3(x + 2)^2 - 2 \)
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suppose that $f(x) = x^3$ and $g(x) = -3x^3$. which statement best comp…
D. The graph of \( G(x) \) is the graph of \( F(x) \) flipped over the \( x \)-axis and stretched vertically
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question let f be the function defined by $f(x)=\\int_{-2}^{\\sqrt{x}} …
$\frac{1}{128\sqrt{x}(\sqrt{x}+1)^6}$
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1. use the graph of function g to answer these questions. a. complete t…
a. $g(x)=\begin{cases} -10, & -15 \leq x < -10 \\ -8, & -10 \leq x < -8 \\ -6, & -8 \leq x < -1 \\ 2, & -1 \leq x < 1 \\ 4, & 1 \leq x < 10 \\ 8, & 10 \leq x < 15 \end{cases}$ b. …
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question evaluate \\(\\frac{d}{dx} \\int_{-2}^{x^4} (t^2 + t)^4 dt\\)
$4x^3(x^8 + x^4)^4$
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21. write the equation of the line in fully simplified slope - intercep…
$y = -\frac{2}{3}x + 2$
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question 2 of 10, step 1 of 1 compute the difference indicated and simp…
$\frac{41}{100}$
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evaluate: ⌊5.8⌋ 5 5.5 5.8 6 done
5 (corresponding to the first option)
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e15b (10) \\(\\frac{3}{7} + \\frac{4}{7} =\\) (11) \\(1\\frac{3}{7} + \…
(10) $1$ (11) $1\frac{7}{7}=2$ (12) $2\frac{7}{7}=3$ (13) $4$ (14) $5\frac{1}{11}$ (15) $3$ (16) $5\frac{4}{15}$ (17) $4$ (18) $6\frac{1}{25}$
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addition of fractions 1 add (1) ( 1\frac{3}{5}+\frac{1}{5}=) (2) ( 2\fr…
(1) $1\frac{4}{5}$ (2) $2\frac{6}{7}$ (3) $5\frac{4}{7}$ (4) $1\frac{1}{9}$ (5) $4\frac{2}{9}$ (6) $1\frac{5}{11}$ (7) $3\frac{3}{11}$ (8) $3\frac{8}{13}$ (9) $5\frac{3}{13}$
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e140 (9) $5\\frac{2}{9}+\\frac{8}{9}=5\\frac{\\square}{9}=$ (10) $\\fra…
(9) $6\frac{1}{9}$ (10) $6\frac{5}{9}$ (11) $7\frac{3}{11}$ (12) $7\frac{2}{11}$ (13) $3\frac{7}{13}$ (14) $5\frac{2}{13}$ (15) $3\frac{13}{15}$ (16) $6\frac{4}{15}$ (17) $8\frac{…
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e14b e15e addition 100 ac (9) ( 5\frac{2}{9}+\frac{8}{9}=5\frac{square}…
(9) $5\frac{10}{9}$, $6\frac{1}{9}$ (10) $6\frac{5}{9}$ (11) $7\frac{3}{11}$ (12) $7\frac{2}{11}$ (13) $3\frac{7}{13}$ (14) $5\frac{2}{13}$ (15) $3\frac{13}{15}$ (16) $6\frac{4}{1…
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at what x - value does the graph jump? in other words, where is it disc…
4
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add. ex. $2\\frac{5}{7}+\\frac{6}{7}=2\\frac{11}{7}=3\\frac{4}{7}$ (1) …
(1) $2\frac{6}{5}$, $3\frac{1}{5}$ (2) $2\frac{7}{5}$, $3\frac{2}{5}$ (3) $3\frac{2}{7}$ (4) $3\frac{11}{7}$, $4\frac{4}{7}$ (5) $3\frac{8}{7}$, $4\frac{1}{7}$ (6) $4\frac{1}{9}$ …
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which piecewise defined function is shown on the graph? \\( f(x) = \\be…
$\boldsymbol{f(x) = \begin{cases} x+2,\text{if } 0 \leq x < 4 \\ x-3,\text{if } 4 \leq x < 8 \end{cases}}$ (the fourth option)
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e13b (9) \\(\\frac{6}{7} + \\frac{3}{7} =\\) (10) \\(\\frac{4}{9} + \\f…
(9) $\frac{9}{7}$ (10) $\frac{11}{9}$ (11) $1$ (12) $\frac{15}{13}$ (13) $\frac{16}{15}$ (14) $\frac{20}{17}$ (15) $\frac{10}{19}$ (16) $\frac{23}{21}$ (17) $\frac{25}{23}$
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addition of fractions 1 add. ex. \\(\\frac{5}{7}+\\frac{6}{7}=\\frac{11…
(1) $\frac{6}{5}=1\frac{1}{5}$ (2) $\frac{7}{5}=1\frac{2}{5}$ (3) $\frac{10}{7}=1\frac{3}{7}$ (4) $\frac{12}{7}=1\frac{5}{7}$ (5) $1$ (6) $\frac{13}{9}=1\frac{4}{9}$ (7) $\frac{16…
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what is the value of $6\\lceil 4 - 9.4 \ ceil$?\ \\(\\circ\\) $-36$\ \\…
-30
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what are the domain and range of the step function with the equation be…
The domain is all real numbers, and the range is all integers that are multiples of 3.
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which statement explains why the value of (lfloor 2.4 floor) is 2 but t…
because 2 is the greatest integer not greater than 2.4, and -3 is the greatest integer not greater than -2.4
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22. the function ( f ) is continuous and ( int_{4}^{19} f(u) , du = 10 …
B. 5
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evaluate: $g(f(-5))$ $y = f(x)$ (graph of a parabola) and $y = g(x)$ (g…
\( 1 \)
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evaluate: $g(f(2))$
\( - 8 \)
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evaluate: $f(g(0))$ $y = f(x)$ $y = g(x)$
\(-2\)
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find ordered pair and use them to graph the equation. y = -x + 5
Ordered pairs: $(0, 5)$, $(2, 3)$, $(5, 0)$ (additional valid pairs include $(-1, 6)$, $(3, 2)$); the graph is a straight line passing through these points as shown in the provide…
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for the real - valued functions ( g(x)=\frac{x - 6}{x + 3} ) and ( h(x)…
The composition is $\boldsymbol{\frac{4x-1}{4x+8}}$ (or simplified as $\boldsymbol{\frac{4x-1}{4(x+2)}}$), and its domain is $\boldsymbol{(-\infty, -2) \cup (-2, \infty)}$
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question 19 sketch a graph of $y = 3x$ question help: video message ins…
A straight line passing through the points $(0,0)$, $(1,3)$, and $(-1,-3)$, extending across the provided coordinate grid.
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for the equation $4x + 3y = 12$ a) complete the table: | x | y | | --- …
a) Completed table: | x | y | |---|---| | 3 | 0 | | 0 | 4 | b) Plot the points $(3, 0)$ (on the positive x-axis, 3 units from the origin) and $(0, 4)$ (on the positive y-axis, 4 u…
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given the equation $y = 4 - \\frac{1}{3}x$, there is a table with colum…
The table values are correct for the equation $y=4-\frac{1}{3}x$, and the plotted line accurately represents the linear function with the corresponding points: $(-3,5), (0,4), (3,…
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identify whether the graph of the function $f(x)$ is even, odd, or neit…
This graph is even because it is symmetrical over the \( y \)-axis.
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the polynomial function $f(x)$ is graphed below. select all the feature…
- There are 4 different real zeros - There are 2 relative maximums - The degree of \(f(x)\) is odd. - The leading coefficient is negative
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express in simplest form with a rational denominator.\\(\\dfrac{5}{\\sq…
\(\frac{5\sqrt{7}}{21}\)
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writing function transformations the function ( g(x) ), graphed below, …
g(x)=abs(x-2)+1
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does this parabola have a minimum or maximum? maximum minimum rewatch
Maximum (the checkbox next to "Maximum" should be selected)
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b) \\(\\frac{1}{\\sqrt{x} - \\sqrt{x - 1}}\\) pour \\(x \\in 1, \\infty…
$\sqrt{x} + \sqrt{x-1}$
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text 1 in 2019, bostons health department tested a system that tracked …
B. As self - defeating, since the justification for the proposal depends on a relationship that the proposal itself would render unverifiable.
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the movement of the progress bar may be uneven because questions can be…
0.0087
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the movement of the progress bar may be uneven because questions can be…
seven and three hundred fifteen thousandths
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8-38. solve the system of equations below. \\(x^2 + y^2 = 16\\) \\(y = …
The solutions to the system are $(0, -4)$, $(\sqrt{7}, 3)$, and $(-\sqrt{7}, 3)$
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use the graph to determine a. the function’s domain, b. the function’s …
a. Domain: $[-4, 6]$ b. Range: $[0, 4]$ c. x-intercept: $(6, 0)$ d. y-intercept: $(0, 3)$ e. $f(-4)=4$
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find \\(sqrt{4}\\). the solution is
2
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write 2(2)(2)(2)(2)(2)(2) in exponential form. $2^8$ $2^7$ $8 \\times 2…
$2^8$
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read and analyze the \who is an american?\ primary source document from…
A. Employment opportunities remained limited for African Americans. B. While not a unique practice, Terrell believed that segregation in the United States was the most hypocritica…
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select the correct answer. what does a production possibilities curve r…
D. a combination of two goods that can be produced using limited resources
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what is the amplitude of this cosine curve? 0 1 3 6
3
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7 essay 1 point in roman society, were women independent or restricted …
In Roman society, women were largely restricted in their actions, with only limited, context-dependent autonomy tied to social class and the later imperial era. Legally, they were…
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the progressive era also witnessed numerous restrictions on democratic …
False
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average health premiums have been increasing at a rate of 5% per year. …
$12591.58$
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write your answer using integers, proper fractions, and improper fracti…
\(y=\frac{1}{8}x - 6\)
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write your answer using integers, proper fractions, and improper fracti…
The equation of the line is \(y = -\frac{1}{4}x + 4\)
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444 × 9 ——— 36 (9 × 4) ? (9 × 40) + ? (9 × 400) ?
The missing values are 360, 3600, and 3996 (in order from top to bottom of the boxes).
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multiple choice 1 point \the immigrant. is he an acquisition or a detri…
Americans significantly disagree over immigration policy
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answer the question below. type your response in the space provided. us…
13.856 (or more precisely, using a calculator for better accuracy, $8\sqrt{3}\approx13.856$)
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which function transforms the graph of the parent function $f(x)=2^x$ b…
\(g(x)=2^{-x}+5\) (the fourth option: \(g(x)=2^{-x}+5\))
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what is the end behavior of the graph of the exponential function $f(x)…
\( f(x) \to 0 \) as \( x \to \infty \), \( f(x) \to \infty \) as \( x \to -\infty \) (the second option: \( f(x)\to 0 \) as \( x \to \infty, f(x)\to \infty \) as \( x \to -\infty …
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interactive task what type of symmetry does cosine have? even odd no sy…
Even
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question 3 0.5 pts below are three statements concerning the derivative…
A. \(\boldsymbol{\frac{d}{dx}e^{ax} = ae^{ax}}\) B. \(\boldsymbol{\frac{d}{dx}e^{x} = e^{x}}\) C. \(\boldsymbol{\frac{d}{dx}b^{x} = (\ln b)b^{x}}\)
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question 1 let ( n ) be a nonzero real number. which of the following i…
\( nx^{n - 1} \) (the option corresponding to \( nx^{n - 1} \))
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find the equation of the quadratic function g whose graph is shown belo…
\( g(x) = (x - 5)^2 - 3 \) (or \( g(x) = x^2 - 10x + 22 \))
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find the equation of the quadratic function ( f ) whose graph is shown …
\( f(x) = -2(x - 3)^2 + 2 \) (or \( f(x) = -2x^2 + 12x - 16 \))
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understanding linear and nonlinear functions for problems 1–4, look at …
1. Nonlinear function 2. Nonlinear (not a function) 3. Nonlinear function 4. Linear function 5. Nonlinear function