**Problem 4:**Use the graph of the function $ g(x) $ to answer the following questions.**Graph Description:**The graph shows a function $ g(x) $ plotted on a Cartesian plane with $ x $-axis ranging from -3 to 3 and $ y $-axis ranging from 0 to 3. The function is piecewise, with two main segments:1. The first segment decreases linearly from the point (-3, 3) to (-1, 1).2. The second segment increases non-linearly from (-1, 1) to (3, 2).**Questions:**(a) Evaluate $ g(1) $.(b) For which $ x $-value(s) does $ g(x) = 2 $?

Answered: Image /qna-images/answer/fdf13e59-63cd-4513-8e0d-155114ad3623.jpg

Answered: 4. Use the graph of the function g(x)…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Similar questions

Suppose you want to graph f(x) = 3sec(2x) + 1. Which function would you want to graph first as a guide function? O g(x)= 3cos(2x)+1 O g(x)= 3cot(2×)+ 1 O g(x) = 3tan(2x)+ 1
Given the graph of f(x) =logs, write the equation of the transformed graph g(x). please help me!!
Use the graphs of f and g to evaluate the functions. y=f(x) y= g(x)| 3 2 (a) (f – g)(2) 2. 3.
Which of the following functions describes the graph of g(x)? -10 -9 -8 - O g(x)= O g(x)= O g(x)= 9(2) + -5 4 O g(x)=2 2²-8 x²+x-6 2²-8 x²-x+6 2x²-8 xả BXHỆ 2x²-8 xả+5x+ô 0 7 6 4 3 2 -10 -1 -4 -6 -8 2 3 4 5 $ 7 4 9 10
Use the graphs of f and g to answer the questions a) Find following values (i)(f + g)(-3) (iii) (fg)(2) (v) (fog)(1) (ii) (g-f)(-2) (iv) ()(3) (vi) (gg)-1): ++ y = g(x) -4- y = f(x)
The graph of the function is a translation of the graph of f(x) = x³. Graph the function. h(x) : (x + 4)3 + 1 y y 6- 4 4 2 2 X -6 -4 -2 -6 -4 -2 2 4 6 -2 -2 -4 -6F -6F y y 6- 6- 4 4 2 2 X -6 -4 -2 2 4 -6 -4 -2 2 4 6 -2 -2 -4 -4 -6F -6F
10.
Suppose that the graph of a function f is known. Explain how the graph of of y = f(x) – 2 differs from the graph of y = f(x – 2).
3. Given the graph of the function y = f(x) below, find the domain, range, increasing/decreasing intervals, and then draw the graphs of the following functions: (i) f(x-1)+2 (ii) f(-x)+1 (iii)-f(x-2) (v) 2f(x) (vi) f(x) (vii) f(2x) (iv)-f(-x+1) (viii) (5)
(a) Sketch the graph of the function f(x) = x. y y 10 10- 5 -10 -5 10 -10 -5 10 -5 -5 - 10 -10 y 10 10 5 5 -10 -5 10 -10 -5 5 10 -5 -5 -10 -10 (b) Use part (a) to graph the function g(x) = (x - 1)3 - 4. y 10 10- 5 5 -10 -5 5 10 -10 -5 10 -5 -10 y 10- 10 - 10 -5 5 10 -10 -5 10 -5 -1아 – 10
The transformation of a function f(x)f(x) into a function g(x)g(x) is given by g(x) = Af(Bx + H) + K g(x) — Af(Ba + н) + К. where the constants • AA vertically scales the function. (negative A reflects the function about the x-axis.) • BB horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(x) into g(x) where the transformation is g(x) = - 2 · f(x + 2) - 2 The function f(x) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Transform the function by applying the constants in this order: H, B, A, K.) 4 -б -5 -4 -3 -2 -7 6 -1 -2 -3 -4 -5 |-6+

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4. Use the graph of the function g(x) to answer the following questions. (a) Evaluate g(1). -3 -2 -1 3 2 1 Y g(x) 2 + X 3 (b) For which x-value(s) does g(x) = 2?