6. Use the graphs of f and g to find the function values:43212(a) (f+g) (4)f(x)33Y2(b) (fg)(1)12g(x)34(f- g)(0)

Answered: 6. Use the graphs of f and g to find…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Assig 1) Find the following for f (x) = 2x + 3 and g(x) = x² – 4. a. (f o g)(x) etermine b. (gof)(x) the following function Ter c. (fo g)(-1) d. (gof)(3) Find (fo g)(x) and (gof)(x) and give their domains
Answer the following questions
Compare the functions shown below: g(x) f(x) h(x) = 2x - 2x - 3x + 2 10 15 Over the interval x = 0 to x = 2m Which function has the most x-intercepts? O fox) O g(x) O h(x) All three functions have the same number of x-intercepts.
Find the following for the function f(x) = 4x + 4x – 2. (a) f(0) (e) - f(x) (b) f(4) (f) f(x + 3) (c) f( – 4) (g) f(4x) (d) f(– x) (h) f(x + h)
Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c. g(g(0))
c. A person's normal blood pressure increases with age and is approximated by b(x) + 110, where x is the person's age. The blood pressure for people between 20 and 30 years old should be between what two numbers? Use function notation to express these values. The blood pressure for people between 20 and 30 years old should be at least b( and no more than b(
The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = {w square units (2 O A(t) 48 square units 3 3 O A(w) = 3w2 - 4w square units A(w) 4w² + 3w square units O A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length {. O P() =D 을(? - 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units O P(t) = 1 units
# 2. Determine if the function g(x) = 3x+5 x is even, odd, or neither (a) using algebraic approach, (b) using the graph of g. Explain all your conclusions.
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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6. Use the graphs of f and g to find the function values: 4 3 2 2 (a) (f + g)(4) f(x) 3 3 2 1 (b) (fg)(1) 1 2 g(x) 3 (f - g)(0)