Consider the following. f(x) = (4x)² (a) Sketch a graph of the function f. 6 -8 -6 -4 -2 2 4 -2 2 N V -6 -4 4 -8 -2 10 O -8 [4,00) O [-4,00) O [0,00) O [-4, 8] -6 -4 -2 y ho X O (-∞, -4] U [4,00) O (-∞0.00) (b) Determine an interval on which f is one-to-one. (-∞0, 00) (d) Give the domain of the inverse function. O [-4, 0] O (-∞0, 0) U (0,00) 8 6 4 2 (c) Find the inverse function of f on the interval found in part (b). f-1(x) = -√√x +4₁ √x + 4 X LX 2 4 O -4 -2 y 12 10 8 6 4 2 2 4 6 8 X X
Consider the following. f(x) = (4x)² (a) Sketch a graph of the function f. 6 -8 -6 -4 -2 2 4 -2 2 N V -6 -4 4 -8 -2 10 O -8 [4,00) O [-4,00) O [0,00) O [-4, 8] -6 -4 -2 y ho X O (-∞, -4] U [4,00) O (-∞0.00) (b) Determine an interval on which f is one-to-one. (-∞0, 00) (d) Give the domain of the inverse function. O [-4, 0] O (-∞0, 0) U (0,00) 8 6 4 2 (c) Find the inverse function of f on the interval found in part (b). f-1(x) = -√√x +4₁ √x + 4 X LX 2 4 O -4 -2 y 12 10 8 6 4 2 2 4 6 8 X X
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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![Consider the following.
f(x) = (4 - x)²
(a) Sketch a graph of the function f.
2
-8 -6 -4 -2
2
-2
-4
N
-6
-8
10
- 12/
-8
-6 -4 -2
y
y
12
10
(d) Give the domain of the inverse function.
[-4, 0]
(-∞, 0) U (0, ∞)
O (-∞0, −4] U [4, ∞)
O (-∞0,00)
8
6
4
2
(b) Determine an interval on which f is one-to-one.
(-∞0,
00)
Ⓒ [4, ∞⁰)
O [-4, ∞⁰)
O [0, ∞)
O [-4, 8]
2
4
4
X
X
(c) Find the inverse function of f on the interval found in part (b).
f-1(x) =
-√√x
x + 4, √x + 4
O
-4
-4
-2
y
12
10
8
6
4
2
y
8
6
4
2
-2
2
4
2
6
4
8
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ba58da1-aa6c-4b34-ac65-53856b97f0bf%2F33f56e15-2764-4c91-b998-5196ad6a1869%2Fea81av1y_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
f(x) = (4 - x)²
(a) Sketch a graph of the function f.
2
-8 -6 -4 -2
2
-2
-4
N
-6
-8
10
- 12/
-8
-6 -4 -2
y
y
12
10
(d) Give the domain of the inverse function.
[-4, 0]
(-∞, 0) U (0, ∞)
O (-∞0, −4] U [4, ∞)
O (-∞0,00)
8
6
4
2
(b) Determine an interval on which f is one-to-one.
(-∞0,
00)
Ⓒ [4, ∞⁰)
O [-4, ∞⁰)
O [0, ∞)
O [-4, 8]
2
4
4
X
X
(c) Find the inverse function of f on the interval found in part (b).
f-1(x) =
-√√x
x + 4, √x + 4
O
-4
-4
-2
y
12
10
8
6
4
2
y
8
6
4
2
-2
2
4
2
6
4
8
X
X
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