Question 1 (a) Given the function h(x) = sin|x/3|. (i) Sketch the graph of the function. (ii) Determine whether the function is even, odd, or neither. Explain why.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.5: Finding An Equation From Lts Graph
Problem 36PS
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Question 1
(a) Given the function h(x) = sin|x/3|.
(i)
Sketch the graph of the function.
(ii)
Determine whether the function is even, odd, or neither. Explain why.
(b) Given the following functions
f (x)
= Vx,
g(x) = Vx.
(i)
Find F = f • g, state the domain of F.
(ii)
Find G = go f, state the domain of G.
(c) Let
f (x) = In(x + 8).
(i) Find the domain and range of the function.
(ii) Find the inverse of the function, state its domain and range.
Transcribed Image Text:Question 1 (a) Given the function h(x) = sin|x/3|. (i) Sketch the graph of the function. (ii) Determine whether the function is even, odd, or neither. Explain why. (b) Given the following functions f (x) = Vx, g(x) = Vx. (i) Find F = f • g, state the domain of F. (ii) Find G = go f, state the domain of G. (c) Let f (x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of the function, state its domain and range.
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Answer C

Question 1
(a) Given the function h(x) = sin|x/3|.
(i)
Sketch the graph of the function.
(ii)
Determine whether the function is even, odd, or neither. Explain why.
(b) Given the following functions
f (x)
= Vx,
g(x) = Vx.
(i)
Find F = f • g, state the domain of F.
(ii)
Find G = go f, state the domain of G.
(c) Let
f (x) = In(x + 8).
(i) Find the domain and range of the function.
(ii) Find the inverse of the function, state its domain and range.
Transcribed Image Text:Question 1 (a) Given the function h(x) = sin|x/3|. (i) Sketch the graph of the function. (ii) Determine whether the function is even, odd, or neither. Explain why. (b) Given the following functions f (x) = Vx, g(x) = Vx. (i) Find F = f • g, state the domain of F. (ii) Find G = go f, state the domain of G. (c) Let f (x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of the function, state its domain and range.
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