AnswersCUSD Math 01 A 5.0Function Notation

Function Notation Answers

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The function can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

Question illustration
A
the radius of the basketball when the volume is V
B
the volume of the basketball when the radius is r
C
the volume of the basketball when the radius is V
D
the radius of the basketball when the volume is r
6

The function f(x) is given by the set of ordered pairs.{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

A
f of negative 10 = 1
Option A
B
f of 2 = negative 10
Option B
C
f of 0 = 6
Option C
D
f of 1 = negative 10
Option D
7

The height of a rocket a given number of seconds after it is released is modeled by . What does t represent?

Question illustration
A
the number of seconds after the rocket is released
B
the initial height of the rocket
C
the initial velocity of the rocket
D
the height of the rocket after t seconds
8

The function f(x) is given by the set of ordered pairs.{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

A
f of negative 10 = 1
Option A
B
f of 2 = negative 10
Option B
C
f of 0 = 6
Option C
D
f of 1 = negative 10
Option D
10

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

A
f(–3) = –5
B
f(–3, –5) = –8
C
f(–5) = –3
D
f(–5, –3) = –2
13

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independent variable.

A
f of q = one-half q minus three-halves
Option A
B
f(q) = 2s + 3
C
f of s = one-half s minus three-halves
Option C
D
f(q) = 2q + 3
14

Which statements about the function are true? Choose three options.

A
g of 1 = negative 1
Option A
B
g of 0 = 0
Option B
C
g of 4 = negative 2
Option C
D
g of 1 = 1
Option D
E
g of negative 1 = 1
Option E
15

Consider the function represented by the table.

Question illustration
A
f(9)=5.
B
f(5)=9.
C
f(5, 9)=14.
D
f(9, 5)=14.
16

Consider the function represented by the table.

Question illustration
A
f(9)=5.
B
f(5)=9.
C
f(5, 9)=14.
D
f(9, 5)=14.
17

On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0).

Question illustration
A
f of 0 = 3
Option A
B
f of 5 = negative 1
Option B
C
f of 3 = 2
Option C
D
f of 2 = negative 2
Option D
18

Consider the function represented by the equation . Which answer shows the equation written in function notation with x as the independent variable?

Question illustration
A
f of x = 6 x + 9
Option A
B
f of x = one-sixth x + three-halves
Option B
C
f of y = 6 y + 9
Option C
D
f of y = one-sixth y + three-halves
Option D

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