Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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question 5 of 14 step 1 of 2 consider the function: $h(x) = -4x^3 + 3x^…
43
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venth grade > ★ b.12 add and subtract integers fns add: $5 + 10 = \\squ…
15
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
(1, 0) (3, 16)
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describe how the graph of the function $y=(x-2)^2 - 1$ is related to th…
vertical translation: 1 unit down horizontal translation: 2 units right dilation: No dilation reflection: No reflection
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
y = 0 y = 16
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describe how the graph of the function $y=(x-2)^2 - 1$ is related to th…
vertical translation: 1 unit down horizontal translation: 2 units right dilation: No dilation reflection: No reflection
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describe how the graph of the function $y = -(x + 4)^2 - 6$ is related …
vertical translation: 6 units down horizontal translation: 4 units left dilation: No dilation (no stretch or compression) reflection: Reflected over the x-axis
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does the parabola $y=2x^{2}-17x+7$ have a tangent line whose slope is -…
A. The parabola has a tangent line whose slope is -1. The equation of the tangent line is $y = -x -25$ and the point of tangency is $(4, -29)$.
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
y = 0 y = 16
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describe how the graph of the function is related to the graph of the p…
It is reflected over the x-axis, vertically stretched by a factor of 4, and has no horizontal/vertical shift.
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question 9 1/1 pt the graph of $y=f(x)$ (solid) and $y=g(x)$ (dashed) i…
$-\infty$
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compute the right-hand and left-hand derivatives as limits and check wh…
Left-hand derivative at $P(9,6)$: $\frac{1}{6}$ Right-hand derivative at $P(9,6)$: $2$ The function is not differentiable at point $P$.
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$\\sqrt{128}$
$8\sqrt{2}$
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differentiate the function. then find an equation of the tangent line a…
The derivative is $-\frac{5}{2(x-2)^{\frac{3}{2}}}$ An equation of the tangent line is $y=-\frac{5}{2}x+\frac{25}{2}$ (or in standard form: $5x+2y=25$)
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9. a tangent function of the form $y = \\tan(bx)$ is defined for all va…
$\frac{1}{4}$ (any value $0<|b|\leq\frac{1}{4}$ is valid, $\frac{1}{4}$ is one example)
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
f(1) = 0
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
a = 1, b = 3
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check all that apply: $\frac{sin(2x)}{sin(9x)} =$$square sinleft(\frac{…
$\frac{2}{9}$
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vocab quiz 2 which statement best explains a key difference between saf…
Safety net programs provide direct assistance, while environmental policies set limits on actions to protect public goods
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vocab quiz 2 2 of 10 a government limits industrial emissions even thou…
The use of regulatory power to protect environmental and public health
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1) $y = \\frac{3}{4}x - 2$
The line $y=\frac{3}{4}x-2$ is graphed by plotting the y-intercept $(0, -2)$, using the slope to find a second point $(4, 1)$, and drawing a straight line through these two points.
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steps for graphing 1 start by placing a point at the y-ic_ 2 from that …
2
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y-intercept = $\boldsymbol{3}$ slope = $\boldsymbol{\frac{3}{2}}$ equat…
-3
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graph the following features: - slope = 2 - y-intercept = $-2$ answer a…
The line $y=2x-2$ is graphed by plotting $(0, -2)$ and $(1, 0)$, then drawing a straight line through these points and extending it.
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graphing sine, cosine and tangent ariel gaspar lopez 9 of 14 enter an e…
$f(x)=3.5\cos(x)$
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name: _______ period____ find the slope, y-intercept of the line, and t…
1. $m=-\frac{4}{3}$, $b=\frac{20}{3}$, Equation: $y=-\frac{4}{3}x+\frac{20}{3}$ 2. $m=-\frac{3}{4}$, $b=-\frac{19}{4}$, Equation: $y=-\frac{3}{4}x-\frac{19}{4}$ 3. $m=0$, $b=3$, E…
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which concept describes the idea that government and government officia…
rule of law
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$24div(3+5)\times2$
6
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the constitution regulates government powers byproviding guides and lim…
providing guides and limits to the government's power.
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solve each problem paying careful attention to the order of operations.…
1. $20 \div 5 + 2 = 6$ 2. $18 \div 9 \times 6 = 12$ 3. $2 \times 8 \div 4 = 4$ 4. $20 - 5 \times 4 = 0$ 5. $2 \times 6 + 4 \times 3 = 24$ 6. $20 \div 2 \times 3 - 6 = 24$ 7. $(2 +…
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8. $32 + 12 \\div 4$
12
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7. $(18 - 6) \\div 3 + 4$
8
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question ⓘ governments may choose to censor access to the internet in a…
Preventing access to video or photo sharing services
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3. twelve divided by the difference of 8 and 2
2
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solve each problem paying careful attention to the order of operations.…
1. $20 \div 5 + 2 = 6$ 2. $18 \div 9 \times 6 = 12$ 3. $2 \times 8 \div 4 = 4$ 4. $20 - 5 \times 4 = 0$ 5. $2 \times 6 + 4 \times 3 = 24$ 6. $20 \div 2 \times 3 - 6 = 24$ 7. $(2 +…
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2) $12 + 4^2$
28
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28) $f(x)=-x^2 - 4x + 1$; find $f(1)$
$-4$
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which best describes emersons central message to his contemporaries in …
One should follow one's conscience instead of what others dictate.
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1 multiple choice 1 point what do we know about the family structure of…
1. They partnered with a spouse of their choice, raised small nuclear families, and occasionally separated and remarried. 2. Socities adopted male-dominated, extended families wit…
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27) $f(x)=x^2 - 2x - 1$; find $f(2)$
$-1$
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Question was provided via image upload.
$\frac{2}{5}$ ### Model Explanation (for the visual model): 1. Draw a rectangle, divide it vertically into 5 equal parts, shade 3 parts to represent $\frac{3}{5}$. 2. Divide the s…
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key features of graphs 6. name: even degree or odd degree? end behavior…
Even Degree or Odd Degree? Even Degree End Behavior: As \(x\to\infty\), \(f(x)\to-\infty\); As \(x\to-\infty\), \(f(x)\to-\infty\) X-Intercepts: \((-6.861, 0)\), \((5.238, 0)\) Y-…
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$f(x)=3x + 5$; find $f(-3)$ 28) $f(x)=-x^2 - 4x + 1$;
$-4$ Note: The second function $f(x)=-x^2-4x+1$ is incomplete (the value to evaluate is missing), so only the solution for $f(x)=3x+5; \text{Find }f(-3)$ is provided. If you provi…
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25) $f(x) = -3x$; find $f(-3)$
9
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slt12: key features of graphs name: 4. even degree or odd degree? end b…
Even Degree or Odd Degree? Odd Degree End Behavior: As $x\to-\infty$, $f(x)\to-\infty$; as $x\to+\infty$, $f(x)\to+\infty$ X-Intercepts: $(-1.8541, 0)$, $(0, 0)$, $(4.8541, 0)$ Y-…
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evaluate each function for the given value. 24) $f(x) = -x^2 - 6x - 7$;…
$-2$
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brain breaker #5: what would you do about the petition if you were the …
1. Brain Breaker #5: I would first review the colonial petition's grievances thoroughly, then negotiate a compromise that reduces the tax burden on colonists while upholding limit…
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2. even degree or odd degree? end behavior: x-intercepts: y-intercept: …
Even Degree or Odd Degree? Odd Degree End Behavior: As $x\to+\infty$, $f(x)\to-\infty$; As $x\to-\infty$, $f(x)\to+\infty$ X-Intercepts: $(-2.84, 0)$, $(1, 0)$, $(2.52, 0)$ Y-Inte…
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• the correct answer is: problem 3 $(5 + 3)^2 - 4 \\times 2$ student wo…
The student failed to follow the order of operations (PEMDAS/BODMAS) by not calculating the sum inside the parentheses $(5+3)$ first. Instead, they incorrectly calculated $3^2$ be…
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solve each equation making sure to follow the order of operations. $2 \…
1. $2 \times 8 + 7$: 23 2. $2 + 3 \times 9$: 29 3. $4 + 10 \div 2$: 9 4. $9 - 2 + 3$: 10 5. $(3 + 2) \times 9$: 45 6. $8 \div (2 + 2)$: 2 7. $6 \div 2 - 1$: 2 8. $1 + 3 \times 5$:…
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8 mark for review the industrialization of japan in the nineteenth cent…
D. A policy of imperial expansion that sought to take advantage of the political and military weakness of neighboring Asian states
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the exponential function $g(x)=3^{x - 1}-4$ is a transformation of the …
B. $g(x)$ is translated 6 units down. E. $g(x)$ is translated 1 unit to the right.
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thursday 2/5 what went wrong? - order of operations directions: each pr…
What went wrong? The student added before doing the required division step after calculating the exponent, violating the order of operations. Correct solution: $\frac{28}{3}$ (or …
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question determine whether the following graph represents a function. a…
Not a Function
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1. which of the following is equivalent to $76\\div9$? a $\frac{9}{76}$…
1. B. $8\frac{4}{9}$ 2. A. 6 3. B. 72 inches 4. C. $10^3$
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which of the graphs shown has a constant rate of change? a. graph w onl…
D. Graph X only
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determine whether the function represents exponential growth or decay. …
The function $y = 500 \cdot 4^x$ represents exponential **growth**. Rewriting the base in terms of the rate of growth or decay results in the function $y = 500 \cdot \boldsymbol{(…
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1. which of the following is equivalent to $76\\div9$? a $\frac{9}{76}$…
1. B. $8\frac{4}{9}$ 2. A. 6 3. B. 72 inches 4. C. $10^3$
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write an equation for the function whose graph is shown to the right. t…
$y=(x-2)^2 + 1$
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write an equation for the function whose graph is shown to the right. t…
$y=(x-2)^2 + 1$
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determine the intervals where the function is increasing and decreasing…
Increasing intervals: $\emptyset$ Decreasing intervals: $(-\infty, \infty)$
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find the slope of the line that passes through (9, 10) and (6, 12). sim…
$-\frac{2}{3}$
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determine the intervals where the function is increasing and decreasing…
Increasing intervals: $\emptyset$ Decreasing intervals: $(-\infty, \infty)$
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divide fractions & mixed numbers - clue 1 crack the code by completing …
Completed fraction division results (with matching letters): 1. $\frac{7}{10} \div 1\frac{1}{6} = \boldsymbol{\frac{3}{5}}$ (S) 2. $\frac{5}{6} \div 1\frac{1}{2} = \boldsymbol{\fr…
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i want you to remember, rate of change is the same thing as slope of a …
$\boldsymbol{\frac{y_2-y_1}{x_2-x_1}}$ (the first option)
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answer as $x \\to \\infty, f(x) \\to -\\infty$ and as $x \\to -\\infty,…
as \(x \to \infty, f(x) \to \infty\) and as \(x \to -\infty, f(x) \to \infty\)
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describe the behavior of this graph shown.a. as the input increases, th…
B. As the input increases, the output decreases for all values of x.
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graph the given functions, f and g, in the same rectangular coordinate …
1. The graph of $g(x)$ is the graph of $f(x) = x^2$ shifted **2 units upward** (vertex moves from $(0,0)$ to $(0,2)$, and all corresponding points on $f(x)$ are moved up by 2 unit…
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evaluate the function at the given values of the independent variable a…
(a) $\frac{11}{4}$ (b) $\frac{11}{4}$ (c) $\frac{3x^2 - 1}{x^2}$
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use a graphing utility with the standard viewing window to graph the fu…
The left graph (the one symmetric across the origin, passing through (0,0), with a peak in the second quadrant and a trough in the fourth quadrant)
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which transformations to the graph of $j(x)$ would result in the graph …
horizontal compression by a factor of $\frac{1}{4}$ , and a translation 27 units down
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review the expressions for $j(x)$ and $j(-x)$ $j(x)=\\frac{220}{x^3}$ $…
j(x) is an odd function.
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question 9 the graph below is the function $f(x)$ determine which one o…
$\boldsymbol{f(a) \text{ is defined.}}$
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form: 9. $g(x) = 15x - 9$
The graph of $g(x)=15x-9$ is a straight line passing through $(0, -9)$ and $(1, 6)$, with a steep positive slope of 15.
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question 9 the graph below is the function $f(x)$ determine which one o…
$\boldsymbol{f(a) \text{ is defined.}}$
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11. higher order thinking without multiplying, decide which symbol belo…
$<$ --- ### For Question 12:
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review the graph of $f(x) = \\sqrt3{x}$ and the graph of the transforme…
- $-f(x + 4)$
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start start in 3-8, without multiplying, decide which symbol belongs in…
3. $>$ 4. $=$ 5. $<$ 6. $>$ 7. $<$ 8. $>$ 9. $\frac{5}{6} \times \frac{1}{4}, \frac{5}{6} \times \frac{6}{6}, \frac{5}{6} \times 1\frac{8}{9}, \frac{5}{6} \times 10\frac{1}{12}$ 1…
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writing equations in slope-intercept formexample 1write an equation of …
1. $y = \frac{1}{4}x + \frac{5}{4}$ 2. $y = \frac{1}{2}x - \frac{7}{2}$ 3. $y = -\frac{1}{3}x + 6$ 4. $y = -x + 3$ 5. $y = \frac{1}{7}x + \frac{17}{7}$ 6. $y = -\frac{3}{4}x - \fr…
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1. what are premium deposits in a variable annuitys subaccounts applied…
1. c. accumulation units 2. b. when the contract is the funding vehicle for a qualified plan 3. b. the insurer's general account
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complete the sentences about the functions $f(x) = 6x + 9$ and $g(x) = …
For small values of $x$, the function with greater values is $\boldsymbol{f(x) = 6x + 9}$. For instance, $\boldsymbol{f(0) = 9}$ whereas $\boldsymbol{g(0) = 3}$. As the value of $…
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graph the inverse of the provided graph on the accompanying set of axes…
Plot the points $(3, -10)$, $(2, -5)$, $(1, 0)$, $(0, 5)$, $(-1, 10)$ on the axes, then draw a straight line through them to get the inverse graph.
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complete the sentences about the functions $f(x) = 6x + 9$ and $g(x) = …
For small values of $x$, the function with greater values is $\boldsymbol{f(x) = 6x + 9}$. For instance, $\boldsymbol{f(0) = 9}$ whereas $\boldsymbol{g(0) = 3}$. As the value of $…
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find the inverse function in slope-intercept form ($mx+b$): $f(x) = x +…
$f^{-1}(x) = x - 9$
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divide. give the exact answer, written as a decimal. 75.14 ÷ 5 =
15.028
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multiple choice 8 points which graph description best matches: $f(x) = …
A vertical asymptote at $x = 0$ and an x-intercept at $x = 1$
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what is the domain of the following rational function? $f(x) = \\frac{2…
$\{x|x eq 1\}$
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given the rational function, $f(x) = \\frac{(x-2)(x+1)}{(x-2)}$, what i…
3
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what is the horizontal asymptote of the following rational function? $f…
$y=0$
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simplify the following rational function: $f(x) = \\frac{x+4}{x^2+4x}$ …
$f(x)=\frac{1}{x}$
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divide. give the exact answer, written as a decimal. $39.611 \\div 0.10…
380.875
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which graph description best matches:$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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determine the domain on which the following function is decreasing.
The function is decreasing on the interval $(5, 14)$ or $5 < x < 14$
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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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22. using the graph below, write the equation of the line in slope-inte…
$y=4x+2$
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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