The "cubing" function: f(x) = x³ Domain: 2-3,2-1,-05,0,12,133 Range: -27,-8,-1,125,041,8273 Is this function a one-to-one function? YES The reciprocal function: Domain: f(x) = -1/ 2-3,2-1,-05, 02241/12, 133 {-13₁-12₁-11-Xasp0.51283 Range: Is this function a one-to-one function? YES NO Domain: The square-root function: f(x)=√x Domain: NO YES [0,00] (Circle one) Range: Is this function a one-to-one function? YES The cube-root function: NO (Circle one) f(x) = √√x (-00,00) Range: -00,00) Is this function a one-to-one function? (Circle one) NO (Circle one) x -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 1 2 V3 x -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) -27 -8 -0.125 O 125 0 27 f(x) -1/3 4/2 -T 4/5 0 0.5 2 3 f(x) undefined undefined undefined undefined .10 KU 1.41 173 f(x) -3 -1.44 -2 1-1.25 -1 -0.5 0 0.5 1 2 3 -0.8 0 .80 1.25 11.44
The "cubing" function: f(x) = x³ Domain: 2-3,2-1,-05,0,12,133 Range: -27,-8,-1,125,041,8273 Is this function a one-to-one function? YES The reciprocal function: Domain: f(x) = -1/ 2-3,2-1,-05, 02241/12, 133 {-13₁-12₁-11-Xasp0.51283 Range: Is this function a one-to-one function? YES NO Domain: The square-root function: f(x)=√x Domain: NO YES [0,00] (Circle one) Range: Is this function a one-to-one function? YES The cube-root function: NO (Circle one) f(x) = √√x (-00,00) Range: -00,00) Is this function a one-to-one function? (Circle one) NO (Circle one) x -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 1 2 V3 x -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) -27 -8 -0.125 O 125 0 27 f(x) -1/3 4/2 -T 4/5 0 0.5 2 3 f(x) undefined undefined undefined undefined .10 KU 1.41 173 f(x) -3 -1.44 -2 1-1.25 -1 -0.5 0 0.5 1 2 3 -0.8 0 .80 1.25 11.44
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can someone tell me if my range and domain are correct. If not how do I get my answer?
![By
Marh B₂
MATH 141
Section 1.1: Basic "Toolkit" Functions
Name:
For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph,
state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19.
A constant function:
Domain:
Range:
f(x) = 3
{-3,₁-2,-1,-0.5,0,1,2,3}
33
Is this function a one-to-one function?
YES
The "identity" function:
f(x) = X
Domain:3, -2,-1,-0.5,0,0.5, 1,2,3
Range:
£3-2,-1,-059051,233
Is this function a one-to-one function?
YES
Domain:
Range:
YES
NO
The absolute value function:
f(x) = |x|
3,2,105,03
3,2,1,05.03
Is this function a one-to-one function?
Domain:
(Circle one)
NO
YES
(Circle one)
The "squaring" function:
f(x) = x²
€3-2-1-25942
६9,411125,9-25,3
Range:
Is this function a one-to-one function?
NO (Circle one)
NO (Circle one)
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
f(x)
M M M M M M
3
3
3
3
3
3
3
3
3
f(x)
-3
-2
ET
-05
O
05
2
3
f(x)
2
05
2
3
f(x)
X
-3
-2
-1
-0.5 -25
0
0.5
1
2
3
9
4
25
q
5
GOOOOO OF
5
y
5
3
b
X
X
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33356245-8ebc-4da8-88b6-3423dbd366b2%2F3ac9ce10-3010-42f3-ab98-8994ff2a143f%2F1pb0mde_processed.jpeg&w=3840&q=75)
Transcribed Image Text:By
Marh B₂
MATH 141
Section 1.1: Basic "Toolkit" Functions
Name:
For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph,
state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19.
A constant function:
Domain:
Range:
f(x) = 3
{-3,₁-2,-1,-0.5,0,1,2,3}
33
Is this function a one-to-one function?
YES
The "identity" function:
f(x) = X
Domain:3, -2,-1,-0.5,0,0.5, 1,2,3
Range:
£3-2,-1,-059051,233
Is this function a one-to-one function?
YES
Domain:
Range:
YES
NO
The absolute value function:
f(x) = |x|
3,2,105,03
3,2,1,05.03
Is this function a one-to-one function?
Domain:
(Circle one)
NO
YES
(Circle one)
The "squaring" function:
f(x) = x²
€3-2-1-25942
६9,411125,9-25,3
Range:
Is this function a one-to-one function?
NO (Circle one)
NO (Circle one)
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
f(x)
M M M M M M
3
3
3
3
3
3
3
3
3
f(x)
-3
-2
ET
-05
O
05
2
3
f(x)
2
05
2
3
f(x)
X
-3
-2
-1
-0.5 -25
0
0.5
1
2
3
9
4
25
q
5
GOOOOO OF
5
y
5
3
b
X
X
X
X
![By
Marh B₂
MATH 141
Section 1.1: Basic "Toolkit" Functions
Name:
For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph,
state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19.
A constant function:
Domain:
Range:
f(x) = 3
{-3,₁-2,-1,-0.5,0,1,2,3}
33
Is this function a one-to-one function?
YES
The "identity" function:
f(x) = X
Domain:3, -2,-1,-0.5,0,0.5, 1,2,3
Range:
£3-2,-1,-059051,233
Is this function a one-to-one function?
YES
Domain:
Range:
YES
NO
The absolute value function:
f(x) = |x|
3,2,105,03
3,2,1,05.03
Is this function a one-to-one function?
Domain:
(Circle one)
NO
YES
(Circle one)
The "squaring" function:
f(x) = x²
€3-2-1-25942
६9,411125,9-25,3
Range:
Is this function a one-to-one function?
NO (Circle one)
NO (Circle one)
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
f(x)
M M M M M M
3
3
3
3
3
3
3
3
3
f(x)
-3
-2
ET
-05
O
05
2
3
f(x)
2
05
2
3
f(x)
X
-3
-2
-1
-0.5 -25
0
0.5
1
2
3
9
4
25
q
5
GOOOOO OF
5
y
5
3
b
X
X
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33356245-8ebc-4da8-88b6-3423dbd366b2%2F3ac9ce10-3010-42f3-ab98-8994ff2a143f%2F4b4esao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:By
Marh B₂
MATH 141
Section 1.1: Basic "Toolkit" Functions
Name:
For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph,
state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19.
A constant function:
Domain:
Range:
f(x) = 3
{-3,₁-2,-1,-0.5,0,1,2,3}
33
Is this function a one-to-one function?
YES
The "identity" function:
f(x) = X
Domain:3, -2,-1,-0.5,0,0.5, 1,2,3
Range:
£3-2,-1,-059051,233
Is this function a one-to-one function?
YES
Domain:
Range:
YES
NO
The absolute value function:
f(x) = |x|
3,2,105,03
3,2,1,05.03
Is this function a one-to-one function?
Domain:
(Circle one)
NO
YES
(Circle one)
The "squaring" function:
f(x) = x²
€3-2-1-25942
६9,411125,9-25,3
Range:
Is this function a one-to-one function?
NO (Circle one)
NO (Circle one)
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
X
-3
-2
-1
-0.5
0
0.5
1
2
3
f(x)
M M M M M M
3
3
3
3
3
3
3
3
3
f(x)
-3
-2
ET
-05
O
05
2
3
f(x)
2
05
2
3
f(x)
X
-3
-2
-1
-0.5 -25
0
0.5
1
2
3
9
4
25
q
5
GOOOOO OF
5
y
5
3
b
X
X
X
X
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