The square-root function: f(x)=√x Domain: Range: Is this function a one-to-one function? YES The cube-root function: Domain: NO YES f(x) = √√x (Circle one) Range: Is this function a one-to-one function? NO (Circle one)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please help me with the last 2 questions 

YES
The reciprocal function:
x
-3
1
-2
f(x) = x
-1
-0.5
0
Domain 3-2-1,-05, 0221/2, 43
{-1/3₁ - 1/2₁-1₁-1/02.5.07/0.5/1/233 / 0.5
Range:
1
Is this function a one-to-one function?
2
1/3
YES
Domain:
Range:
The square-root function:
f(x) = √x
NO
YES
NO
Domain:
Is this function a one-to-one function?
The cube-root function:
YES
NO
(Circle one)
(Circle one)
NO
(Circle one)
3
f(x) = ³√x
Range:
Is this function a one-to-one function?
23
(Circle one)
X
-3
-2
-1
-0.5
0
0.5
1
2
3
-3
-2
-1
-0.5
0
0.5
1
2
3
f(x)
-V2
-1
D
0.5
2
3
f(x)
3
0.8
D
H
f(x)
A
5
y
5
3
y
PR
X
X
Transcribed Image Text:YES The reciprocal function: x -3 1 -2 f(x) = x -1 -0.5 0 Domain 3-2-1,-05, 0221/2, 43 {-1/3₁ - 1/2₁-1₁-1/02.5.07/0.5/1/233 / 0.5 Range: 1 Is this function a one-to-one function? 2 1/3 YES Domain: Range: The square-root function: f(x) = √x NO YES NO Domain: Is this function a one-to-one function? The cube-root function: YES NO (Circle one) (Circle one) NO (Circle one) 3 f(x) = ³√x Range: Is this function a one-to-one function? 23 (Circle one) X -3 -2 -1 -0.5 0 0.5 1 2 3 -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) -V2 -1 D 0.5 2 3 f(x) 3 0.8 D H f(x) A 5 y 5 3 y PR X X
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