11. The graphs off and g are given. Express the function g in the form g(x) = a (x-h)² + kf(x)=x²◄▬▬▬▬▬▬▬▬▬-7 -5 -31714+1062+1+1 39++5 7Copyright Cengage Learning. Powered by Cognero.+ + +9 11 13Page 3

Given: f(x)=x2 Function g is in the form: g(x) = a(x-h)2+k h is the units by which graph of f(x) is…

Answered: 11. The graphs off and g are given.…

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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Inspect the graph of the function to determine whether it is concave up, concave down or neither, on the given interval. A cube function, m(x) = - 4x³, on (-∞,0) On the interval (-∞,0), the function m(x) = − 4x³ is concave down. neither concave up or concave down. concave up.
9. then find the domain of the result. Let f(x)=x+2 and g(x) = 2r². Perform each fu 8. (f+g)(x)
Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³ Choose the correct answer below. O A. O B. O C. 1 2 f f(x)=x² + 8x and g(x)=x³ - 7x³ +3, then y = f[g(x)]. 3 3 If f(x) = x³ - 7x² +3 and g(x)=x² +8x, then y = f[g(x)]. 1 2 If f(x) = 8x³ - 56x³ +3 and g(x)=x², then y = f[g(x)]. 1 2 OD. If f(x)=x If f(x)=x³ - 7x³ +3 and g(x)=x² + 8x, then y = f[g(x)].
Use the graph of the function f shown to the right to find f(-2), f(-1), and f(0). f(-2)= f(-1) = 0 f(0) = -10 10 IN th # F2 y
Use the graphs to evaluate the expressions below. 0+ 5 4 3 f(x) f(g(0)) 9(f(5)) = f(f(1)) = 9(9(3)) - 6 5 4- 3 2 1 8(x) Domain of 3 5 Given functions f(2)= and g(2)=2²-4, state the domains of the following functions using interval notation. f(x) g(z) Domain of f(g(z)) : Domain of g(f(z)) : If f(x)=z¹ +6, g(z)=z-8 and h(z)=√, then f(g(h(z))) - The number of bacteria in a refrigerated food product is given by N(T) = 227²1217 +67, 5

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11. The graphs off and g are given. Express the function g in the form g(x) = = a (x-h)² + k 17 14- 10- f(x)=x² 2 -2 7 9 11 13