微積分
極限、導関数、最適化、関数挙動。
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find the slope of the line graphed below.
$\frac{-5}{3}$
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which graph description best matches:$f(x) = \\frac{x-1}{x^3}$○ a verti…
A. A vertical asymptote at $x = 0$ and an x-intercept at $x = 1$
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divide. give the exact answer, written as a decimal. $44.041 \\div 0.03…
1376.28125
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divide. give the exact answer, written as a decimal. $\\dfrac{51.15}{0.…
68.2
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find the slope of the line graphed below.
$\frac{3}{4}$
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e 4 - (2 - 15)
17
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what is the domain of the graph? what is the range of the graph? true o…
1. Domain: $\boldsymbol{-5 \leq x < 3}$ 2. Range: $\boldsymbol{-7 \leq y \leq 0}$ 3. False 4. d) The graph was stretched by a factor of 5
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h (-4 + 9) · -3
-15
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(h) $(-4 + 9) - (-3)$
2
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what is the inverse of $y = \\frac{x - 9}{5}$? use algebraic notation t…
1. Inverse function: $y = 5x + 9$ 2. Transform black $y=x^2$: shift left 4 units, then down 7 units to get $y=(x+4)^2-7$ 3. Local maximum: the top-left square (near the positive y…
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find $12.48 + (-10.636)$. write your answer as $12.48 + (-10.636) = \\s…
1.844
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a mound of sand at a rock-crushing plant is growing over time. the equa…
D. 14 hours
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values from the function $g(x)=2\\sqrt3{x+3}-1$ are shown in the table.…
$x=-3$
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the graph of $y = f(x)$ and $y = 4$ is shown. what is the value of $x$ …
$x=3$
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solve: $2\\sqrt3{3x - 1} - 6 = -2$ $x = \\square$
$x = 3$
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what is a commodity? a. something that producers are unable to sell to …
D. Something of value that can be bought, sold, or traded.
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in capitalism, what does competition do for consumers? a. it limits the…
D. It keeps prices fair for consumers.
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e $(-8 cdot -3) - 5$
19
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test prep evaluate the expression. $13 - 2 \\times 5 + 7^2$ show hints …
52 (corresponding to the last option: 52)
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$40 - 4^{2} \\times 2 + 1 = \\square$ options: 7, 8, 9, 4, 5, 6
9
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evaluate the expression. enter the correct answer in the box. show hint…
68
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evaluate the expression. enter the correct answer in the box. show hint…
18
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find the missing number to make the equation true. $7 + 8 + \\underline…
10
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13. graph: $y = -x$
A straight line passing through the origin $(0,0)$, $(2,-2)$, and $(-2,2)$, sloping downward from left to right across the coordinate grid.
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use the graph of the function f to decide whether each quantity exists.…
(a) $4$ (b) $6$ (c) $\text{DNE}$ (d) $4$
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the movement of the progress bar may be uneven because questions can be…
$\log_{4}100 \approx 3.3$
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consider the following function. $f(x)=\\frac{1}{x-8}$ determine whethe…
(a) $-\infty$ (b) $+\infty$ (or $\infty$)
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consider the following function. $f(x) = 6x - 9$ find the limit. $lim_{…
6
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find and write the missing number to make the equations true. 6. $4 + 8…
6. $7$ 7. $7$ 8. $3$ 9. $20$ 10. $16$
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$y = \\frac{5}{3}x$ $y = 2x - 1$ click to select points on the graph.
For $y=\frac{5}{3}x$, plot points $(0, 0)$ and $(3, 5)$, then draw a line through them. For $y=2x-1$, plot points $(0, -1)$ and $(3, 5)$, then draw a line through them. The lines …
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$v(t) = t^4 - 2t^3 - 4t$ what is the particles velocity $v(t)$ at $t = …
$v(1) = -5$ $a(1) = -6$ The particle is speeding up.
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log with base \e\ ($\\log_e x$) is referred to as... common logarithm b…
natural logarithm
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name ____ teacher ____ period ____topic 5 test: rational exponents and …
1. $3xy^3$ 2. $3\sqrt{2x}$ 3. C. $\sqrt[11]{121}$ 4. D. $y=-9+\sqrt{x-3}$ 5. B. $17^{\frac{4}{3}}$ 6. A. $(-x)^{-\frac{3}{5}}$ 7. $f^{-1}(x)=\pm\frac{\sqrt[6]{x+1}}{2}$ 8. (Graph …
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svlc algebra iii - standard (15261) exponential growth functions gerald…
The conclusion is incorrect because the range is limited to the set of positive real numbers.
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snc.algebra iii - standard (10/29)exponential growth functionsgeraldine…
1. Statement 1 is incorrect because the y-values are increased by 2, not doubled 2. Statement 2 is incorrect because the y-values are doubled, not halved 3. The conclusion is inco…
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algebra 1b - standard 15281exponential growth functionsseveral ordered …
The domain is the set of real numbers, and the range is $y > 0$.
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multiply. $70.6 \\times 53.9$
3805.34
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8. a) on what intervals of x is $f(x)$ increasing? b) on what intervals…
a) $(-\infty, -1)$ b) $(-1, \infty)$ c) $(-\infty, -3)$ --- ### Problem 9
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7 rewrite the following logs with base 10: $log_{26} 18 = square$ $log_…
$\log_{26} 18 = \frac{\log_{10} 18}{\log_{10} 26}$ $\log_{99} 32 = \frac{\log_{10} 32}{\log_{10} 99}$ $\log_{12} 4 = \frac{\log_{10} 4}{\log_{10} 12}$
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1. click the button 2. type \log\ in the first box, then your base in t…
$b^e = a$
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5. a) on what intervals of x is f(x) positive? b) on what intervals of …
a) $(-\infty, \infty)$ b) $(-\infty, \infty)$ c) $(-\infty, \infty)$ --- ### Problem 6
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5. a) on what intervals of x is f(x) positive? b) on what intervals of …
a) $(-\infty, \infty)$ b) $(-\infty, \infty)$ c) $(-\infty, \infty)$ --- ### Problem 6
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multiply. answer as a mixed number in simplest form. $2\\frac{1}{2} \\t…
$9\frac{1}{2}$ (The whole number part is 9)
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multiply. answer as a mixed number in simplest form. $2\\frac{1}{2} \\t…
$9\frac{1}{2}$ (The whole number part is 9)
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graph the equation. $y=2x+1$ use the graphing tool to graph the line. u…
The line passes through points such as $(0,1)$ and $(1,3)$, extending infinitely in both directions on the coordinate grid.
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gebra ii sem 2 1.9.3 quiz: finding vertical asymptotes given the graph …
B. \(F(x)\) is a very large positive number
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example there are 4 boxes of printer paper to be divided equally among …
Number Line A (the first number line marked with 0, 1, 2, 3, 4, with each whole divided into 6 equal segments)
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exponential growth functions the graph represents the function $f(x) = …
- The graph will increase at a slower rate. - The y-values will continue to increase as x-increases.
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how would the graph change if the $b$ value in the equation is decrease…
D. The graph will increase at a slower rate. E. The $y$-values will continue to increase as $x$-increases.
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multiply. try using the cross-cancel strategy to simplify the problem. …
13
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bra ii sem 2 1.9.3 quiz: finding vertical asymptotes question 7 of 10 w…
A. $f(x)=\frac{1}{x}$
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multiply. try using the cross-cancel strategy to simplify the problem. …
13
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1.9.3 quiz: finding vertical asymptotes question 6 of 10 for the functi…
A. -0.01 is **not** a valid value. The function $f(x)=\frac{1}{x}$ produces values with very large magnitude (positive or negative) when $x$ is close to 0. *Note: If other options…
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what is the slope of this line? simplify your answer and write it as a …
$\frac{-4}{5}$
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composite functions & inverses perform the indicated operation. 1) $f(x…
$f(g(x)) = 3x^2 - 9x - 2$ $g(f(x)) = 9x^2 - 21x + 10$
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what is the slope of this line? simplify your answer and write it as a …
$\frac{-4}{5}$
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1.9.3 quiz: finding vertical asymptotes question 4 of 10 at what value …
C. 1
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the graph represents the function $f(x) = 10(2)^x$ how would the graph …
- The y-values will each be less than their corresponding x values - The graph will increase at a slower rate - The y-values will continue to increase as x increases
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ponential growth functions the graph represents the function $f(x)=10(3…
- The graph will increase at a slower rate - The y-values will continue to increase as x increases
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which of the following correctly identifies the factor $k$ for the vert…
B. $k=\frac{1}{4}$
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simplifying fractions grade 5 fractions worksheet simplify the fraction…
1. $\frac{1}{5}$ 2. $\frac{1}{2}$ 3. $\frac{1}{10}$ 4. $\frac{4}{5}$ 5. $\frac{3}{4}$ 6. $\frac{2}{3}$ 7. $\frac{1}{2}$ 8. $\frac{11}{12}$ 9. $\frac{1}{2}$ 10. $\frac{1}{5}$ 11. $…
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upton sinclairs the jungleinvestigated ______ and brought about the pas…
1. the meat packing industry 2. censored
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the graph represents the function $f(x) = 10(2)^x$ how would the graph …
- The y-values will each be less than their corresponding x values - The graph will increase at a slower rate - The y-values will continue to increase as x increases
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consider the following two functions. original: $f(x)=|x| + 1$ final: $…
Option #2: a vertical compression
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complete this assessment to review what youve learned identify the fact…
$\frac{1}{2}$
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use the given zero to find all the zeros of the function. (enter your a…
For \(h(x) = 4x^3 - 13x^2 + 28x + 30\): \(2-\sqrt{6}i, 2+\sqrt{6}i, -\frac{3}{4}\) For \(f(x) = x^3 + 5x^2 + 24x + 20\): \(-2-4i, -2+4i, -1\)
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graph the equation $y = x^2 + 4x + 3$ on the accompanying set of axes. …
The 5 points to plot are $(-4, 3)$, $(-3, 0)$, $(-2, -1)$, $(-1, 0)$, $(0, 3)$. The roots of $x^2 + 4x + 3 = 0$ are $x=-3$ and $x=-1$.
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the graph represents the function $f(x) = 10(1.5)^x$ how would the grap…
- The graph will increase at a slower rate. - The y-values will continue to increase as x increases.
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find the rate of change of the linear function shown in the graph. then…
Rate of change: $-\frac{1}{2}$ Initial value: $2$
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ponential growth functions what are the domain and range of the functio…
The domain includes all real numbers, and the range is $y > 0$
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what are the domain and range of the relation in the graph? the domain …
The domain includes all non-negative numbers, and the range is $y \geq 0$
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question 1 of 3 select the correct answer from each drop-down menu. the…
The parent function of the function represented in the table is exponential. If function $f$ is vertically compressed by a factor of $\frac{1}{4}$, the $f(x)$-values will be divid…
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bra 1b - standard (15261) tial growth functions ramon is graphing the f…
The fourth graph (with the point (0, 3) plotted)
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shawna is graphing the function $f(x) = 3(4)^x$. she begins by plotting…
The graph with the point plotted at $(0, 3)$ (the rightmost option, labeled IV) is the correct initial step.
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exponential growth functions which is the graph of $f(x) = 5(2)^x$?
The fourth graph (rightmost one, passing through (0,5) and (1,10))
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exponential growth functions keshawn is asked to compare and contrast t…
- The range of $g(x)$ is $y > 0$ - The domain of both functions is all real numbers
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here is the graph of $g(r)$. determine the average rate of change for e…
| Interval | Average Rate of Change | |------------------------|------------------------| | $r=-2$ to $r=1$ | $\frac{-1}{3}$ | | $r=-2$ to $r=5$ | $\frac{-4}{7}$ | | $r=-2$ to $r=…
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you estimated the answer to be 8. where can you place the decimal point…
$8.36$
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$\\begin{array}{r}38\\\\×22\\hline76\\\\+760\\hline□□□\\end{array}$
8 3 6
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now solve for the second partial product, and look at one place value a…
The second partial product is 760, so the blanks are filled with $\boldsymbol{6}$ and $\boldsymbol{0}$ (resulting in the line showing 760, with the 7 under the placeholder "1").
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complete the table to vertically stretch the parent function $f(x)=x^3$…
The completed table values are: - Missing coefficient: $3$ - $y$ when $x=1$: $3$ - $y$ when $x=2$: $24$ Filled table: | $x$ | $y=3x^3$ | |-----|----------| | 0 | 0 | | 1 | 3 | | 2…
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valeria and thiago disagree about the domain of $f(x)$.- valeria says t…
Correct choice: Valeria's
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find the rate of change of the linear function shown in the graph. then…
Rate of change: $-\frac{1}{2}$ Initial value: $2$
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problem 8: spiral review here is the graph of $g(r)$. determine the ave…
| Interval | Average Rate of Change | |----------|------------------------| | $r=-2$ to $r=1$ | $\boldsymbol{-\frac{1}{3}}$ | | $r=-2$ to $r=5$ | $\boldsymbol{-\frac{4}{7}}$ | | $…
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find the rate of change and initial value for the linear function. the …
Rate of change: $-1$ Initial value: $5$
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using the correct order of operations $8 \\times (10 - 6) \\div 2 + 4$
20
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graph the equation $y = x^2 + 4x + 3$ on the accompanying set of axes. …
The 5 points to plot are $(-4, 3)$, $(-3, 0)$, $(-2, -1)$, $(-1, 0)$, $(0, 3)$. The roots of $x^2 + 4x + 3 = 0$ are $x=-3$ and $x=-1$.
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ons worksheet -- order of operations simplify each expression usin $(3 …
2
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ian finds the area of the rectangle shown by adding 4+4+4+4+4+4.ray fin…
1. C. Both Ian’s and Ray’s methods are correct. 2. D. 3×6, because the order of the numbers does not matter in multiplication
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question evaluate: $log_{81} \frac{1}{27}$ answer
$\frac{-3}{4}$
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question graph the equation $y = x^2 - 10x + 16$ on the accompanying se…
Plotted points: $(1,7)$, $(2,0)$, $(5,-9)$, $(8,0)$, $(9,7)$ Equation of the axis of symmetry: $x=5$
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6. $4\\frac{1}{5}-2\\frac{1}{4}=$
$1\frac{19}{20}$
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name: kaliah salinasdate: feb 10 20267.3 exponential functions: charact…
a) Day 3 number of bacteria: 1500 b) Day 6 number of bacteria: 187500 c) $f(x) = 12 \cdot 5^x$ d) Exponential growth y-intercept: $(0, 12)$ --- ### Problem 2
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$d(t) = \\frac{5}{6}x + 4$ evaluate $d(12)$ type answer here. © math by…
14
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f(x) = -2x + 5 evaluate f(-4) type answer here.
13
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at says \type answer here.\ if you answer correctl you get to the \fini…
$-10$
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type answer here. $b(t) = 4t^3 - t^2$ evaluate $b(-2)$ type answer here.
$-36$
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directions: study the information and graphs, read each question, and c…
13. A. Revolving credit stayed lower and steadier than in previous years, and non-revolving credit spiked upward. 14. A. Consumer resources and confidence are down, so fewer peopl…
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type answer here. $b(t) = 4t^3 - t^2$ evaluate $b(-2)$ type answer here.
$-36$
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$g(y) = y^2 - 3y$ evaluate $g(6)$
18