A function fis given. f(x)=x²-1 (a) Sketch the graph of f. -10 - 10 -10 -10 -5 (c) Find -1 f-¹(x) = -5 -5 y -5 10 5 -10 y (b) Use the graph off to sketch the graph of f-¹. y 10- 10 -10 5 -5 -10- y 10 5 -5 5 -10- 5 5 5 10 10 10 X X Ly X 10 -10 -10 -10 O -10 O -5 -5 -5 -5 y 10 5 -5- -10- y 10 -10- y 10 5 -5 -10- y 10- 5 -5 -10- 5 5 5 5 10 10 X + X 10 Ly X 10
A function fis given. f(x)=x²-1 (a) Sketch the graph of f. -10 - 10 -10 -10 -5 (c) Find -1 f-¹(x) = -5 -5 y -5 10 5 -10 y (b) Use the graph off to sketch the graph of f-¹. y 10- 10 -10 5 -5 -10- y 10 5 -5 5 -10- 5 5 5 10 10 10 X X Ly X 10 -10 -10 -10 O -10 O -5 -5 -5 -5 y 10 5 -5- -10- y 10 -10- y 10 5 -5 -10- y 10- 5 -5 -10- 5 5 5 5 10 10 X + X 10 Ly X 10
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.6: Transformations Of Functions
Problem 5E: If a function f is an even function, then what type of symmetry does the graph of f have?
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![A function fis given.
f(x) = x = 1
(a) Sketch the graph of f.
-10
- 10
-10
-10
-5
(c) Find 1
f-1(x) =
y
10
5
मे
-10
(b) Use the graph of f to sketch the graph of f−1
y
10-
-5
-5
y
10-
-5
5
-10
5
-5
-10-
y
10
5
-5
5
-10-
5
5
10
10
X
4 X
10
Ly
X
10
-10
-10
-10
O
O
-10
-5
-5
-5
-5
y
10
5
-5-
-10-
y
10
-10-
y
10
5
-5
-10-
y
10-
5
-5
-10-
5
5
5
5
+ X
10
10
4 x
10
Ly X
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa55b795d-42ce-44f2-9861-dad3b8c9758f%2Fcedfbc36-7f7a-475f-8b73-6a856961293c%2F69jchia_processed.png&w=3840&q=75)
Transcribed Image Text:A function fis given.
f(x) = x = 1
(a) Sketch the graph of f.
-10
- 10
-10
-10
-5
(c) Find 1
f-1(x) =
y
10
5
मे
-10
(b) Use the graph of f to sketch the graph of f−1
y
10-
-5
-5
y
10-
-5
5
-10
5
-5
-10-
y
10
5
-5
5
-10-
5
5
10
10
X
4 X
10
Ly
X
10
-10
-10
-10
O
O
-10
-5
-5
-5
-5
y
10
5
-5-
-10-
y
10
-10-
y
10
5
-5
-10-
y
10-
5
-5
-10-
5
5
5
5
+ X
10
10
4 x
10
Ly X
10
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