Examine the table for f (x) and the graph for g (x). Both represent cubic functions. x f(x) -1-11 0 0 1-7 2 -20 3 -27 4 -16 40 20 -20 20 20 -40

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: Write the function in the form y=a(x-h)^2+k f(x) = x^2+14x+3 f(x) =x^2 +x-3

A: Consider the function  1)f(x)=x2+14x+32)f(x)=x2+x−3   Write the function in the form  y=ax−h2+kf(x)

Q: Q3/ Sketch the graph of f(x) = x+1

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Q: 6. Consider the quadratic function whose equation is f (x)= x²+ 2x-8. (a) Sketch a graph of f on the…

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Q: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

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Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) = {V1-x2 ,-1<x<1 x21

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x - 1) +4. y = f(x) Ay 8- 6- 4- -8 -6-4-2…

A: f (x – k) shifts the function k units to the right. Here k = 1. Given f(x),a new function…

Q: 16. Graph the function f(x) = -3x + 7.

A: The given function is: fx=-3x+7 This is a linear function, which represents the line. To graph, this…

Q: Use the graph of y = f(x) to graph the function g(x) = f(x- 1) +4. Choose the correct graph of g…

A: Vertical Shifts : Let k&gt;0. Compared with the graph of y=f(x), the graph of y=f(x)+k is shifted…

Q: e) Draw the graph of f. x2 f(x) 16 — х2

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Q: 2. Graph the function: f(x) = - er-1 +2 x y xy

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Q: The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 3000 2000 1000 -10 -8 -4…

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Q: 10. Graph the function. f(x) = -2(x- 4)(x + 2) %3D

A: Topic = Parabola

Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) ={V1-x2 ,-1<x<1 x21

A:

Q: What is the function of the graph? Select the correct answer. Oy-x? - 82? + 5x Oy-6x-8x3 + 5x y-x° -…

A: Facts : 1. Complex roots always occur in conjugate pair. 2. If the polynomial has degree 'n' : A. n…

Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x…

A: To sketch the graph of given function :

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x)

A: Graphical problem

Q: 2. f(x) = 3[ x]

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Q: (1-x, Q10/ Graph the function f(x)={2-x. 12-x, 1<x<2

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Q: 6) Given the function H(x) = V2x – 3 , complete the table of values and use it to sketch the graph…

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Q: Compared with the graph of f(x) the graph of x' 1 g(x) : 1 is shifted 2 units , and x + 2 1 unit

A: Given : Compared with the graph of f(x) = 1x , the graph of g( x) =1x + 2 - 1 is shifted 2 units…

Q: 30. Determine the point of inflection of the graph of f. f (x) = x3 – 3x? O (3, 0) O (1,-2) O (0, 0)…

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Q: 6. Given the graph of f(x), y -50 0 100 200 X- 300 -2 -3 -4 -5 -6 a. Estimate f(50). b. Estimate x…

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Q: 1. For the linear function f(x) = -4x + 3, (a) Find the slope and y-intercept. (b) Determine whether…

A: Slope of y=-4x+3:   Axis interception points of -4x+3:

Q: Starting with the graph of f(x)=4xf(x)=4x, write the equation of the graph that results from A.)…

A: (i) Consider the given function as fx=4x. a) A function y=fx when reflected about the x-axis becomes…

Q: .Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is…

A: Let's find.

Q: 4) Graph the function f(x) = x² and g(x) x² + 7

A: Graph.

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

Q: -k/complete-a-table-and-graph-a-linear-function f(x) = 4x + 2 f(x)

A: f(x)=4x+2 at x=0 f(0)=4x0+2=0+2=2 f(1)=4x1+2=4+2=6 f(2)=4x2+2=8+2=10

Q: Use the graph of f(x) 5 %3D to sketch the graph of g. g(x) = %3D X-9 y 10 f(x)= 5 -4 -2 2 4 -5F 51X

A: As g(x) = f(x - 9)  So just shift the graph of f(x) right side by 9 unit.

Q: Use the graph of g to solve: Find g(2)

A: Given graph is: To find: g2 From the given graph we can find that at x=2, value of function is -2.…

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: Use the graph of y= f(x) to graph the function g(x) = f(x- 2) -4. y = f(x) 8-

A: In general, for a function f(x), the transformation does the follows f(x+a) - shift the graph…

Q: f(x)=x^4+5x, find f'(x). What is the graph?

A: Let the function f(x) is given as  f(x)=x4+5x   To determine: The derivative of the function f(x)…

Q: V3 1, a -1

A:

Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x)- y= f(x) Ay 4- -4 -2 -2-

A: =&gt;y=f(x)=2  =&gt;g(x)=2f(x)=2×2=4

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: Use the graph of y =f(x) to graph the given function. y = f(x) -3 y=f(-x) 2.

A: To draw the graph of y=f-x, we will use the transformation properties. In which, we draw the graph…

Q: F

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Q: x < 0 6. Sketch the graph of f(x) = x2, x 20

A: Solution: The objective is to graph the given function

Q: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

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Q: a) Expand the function f(x) = –3 (x + 5) (x – 4) (x – 5) f(x) = b) What are the zeros of the…

A: Topic = Functions

Q: Use the graph of f(x) 2 to sketch the graph of g. %3D g(x) = %3D

A: Given,         The graph of fx=2x2 is shown below :

Q: Find f -1(x) . (b) Sketch the graphs of f and f-1 on the same coordinate plane.

A: Given- fx=10-15x To Find- The inverse function f-1x and sketch the graph of fx and f-1x.