AnswersMathematics IExponential Functions

Exponential Functions — Test Answers

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What is the initial value of the exponential function shown on the graph?

A
2
B
4
C
1
D
0
2
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What is the value of k ?

A
3
B
negative 3
C
negative 5
D
5
3

What is the initial value of the exponential function shown on the graph?

A
4
B
0
C
2
D
1
4

Which function represents g of x , a reflection of f of x is equal to 1 half times 3 to the x th power across the y -axis?

A
g of x is equal to negative 1 half times 3 to the x th power
B
g of x is equal to 2 times 3 to the x th power
C
g of x is equal to 1 half times 3 raised to the negative x power
D
g of x is equal to 2 times 3 raised to the negative x power
5

Which exponential function is represented by the graph?

A
f of x is equal to 2 times 2 to the x th power
B
f of x is equal to 1 half times 2 to the x th power
C
f of x is equal to 1 half times 1 half to the x th power
D
f of x is equal to 2 times 1 half to the x th power
6

Which function represents a reflection of f of x is equal to 5 times 0 point 8 to the x th power across the x -axis?

A
g of x is equal to 1 fifth times 0 point 8 to the x th power
B
g of x is equal to 5 times 0 point 8 raised to the negative x power
C
g of x is equal to negative 5 times 0 point 8 to the x th power
D
g of x is equal to 5 times negative 0 point 8 to the x th power
7

What is the multiplicative rate of change of the function?

A
4 thirds
B
3 fourths
C
3 halves
D
2 thirds
8

What is the initial value of the exponential function represented by the table?

A
1 half
B
1
C
1 fourth
D
1 eighth
9

The graph of g of x is the result of translating the graph of f of x is equal to 3 to the x th power six units to the right. What is the equation of g of x ?

A
g of x is equal to 3 to the x th power plus 6
B
g of x is equal to 3 raised to the x minus 6 power
C
g of x is equal to 3 raised to the x plus 6 power
D
g of x is equal to 3 to the x th power minus 6
10

What is the range of f of x is equal to 3 fourths to the x th power minus 4 ?

A
start set y such that y is greater than 3 fourths end set
B
start set y such that y is greater than negative 4 end set
C
start set y such that y is less than negative 4 end set
D
start set y such that y is less than 3 fourths end set
11

Which best describes the range of the function f of x is equal to 2 thirds times 6 to the x th power after it has been reflected over the x -axis?

A
all real numbers less than or equal to 0
B
all real numbers
C
all real numbers less than 0
D
all real numbers greater than 0
12

The function f of x is equal to 2 times 5 to the x th power can be used to represent the curve through the points 1 comma 10 , 2 comma 50 , and 3 comma 250 What is the multiplicative rate of change of the function?

A
2
B
32
C
10
D
5
13

Which is the graph of f of x is equal to 1 fourth times 4 to the x th power ?

A
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points 3 comma 2 and 4 comma 4.
B
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points 1 comma 1 and 2 comma 4.
C
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points 2 comma 1 and 0 comma 4.
D
Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points 1 comma 1 and 0 comma 4.
14

Which graph is the sequence defined by the function f of x is equal to 3 times 2 raised to the x minus 1 power ?

A
Image with description On a coordinate plane, 5 points are plotted. The points are (0 comma 2), (1 comma 6), (2 comma 18), (3 comma 54), (4 comma 162).
B
Image with description On a coordinate plane, 6 points are plotted. The points are (0 comma 3), (1 comma 6), (2 comma 12), (3 comma 24), (4 comma 48), (5 comma 96).
C
Image with description On a coordinate plane, 5 points are plotted. The points are (1 comma 3), (2 comma 6), (3 comma 12), (4 comma 24), (5 comma 48).
D
Image with description On a coordinate plane, 5 points are plotted. The points are (1 comma 2), (2 comma 6), (3 comma 18), (4 comma 54), (5 comma 162).
15

What are the domain, range, and asymptote of h of x is equal to 6 to the x th power minus 4 ?

A
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 4 end set ; asymptote: y is equal to 4
B
domain: start set x such that x is greater than 4 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to negative 4
C
domain: start set x such that x is greater than negative 4 end set ; range: start set y such that y is a real number end set ; asymptote: y is equal to 4
D
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 4 end set ; asymptote: y is equal to negative 4
16

Which formula can be used to describe the sequence? 1 point 2 comma 3 comma 7 point 5 comma 18 point 7 5 comma dot dot dot

A
f of x is equal to 1 point 2 times 2 point 5 to the x th power
B
f of x is equal to 1 point 2 times 2 point 5 raised to the x minus 1 power
C
f of x is equal to 2 point 5 times 1 point 2 to the x th power
D
f of x is equal to 2 point 5 times 1 point 2 raised to the x minus 1 power
17

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5 percent greater than the previous month’s total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio?

A
0 point 5
B
5 point 0
C
1 point 0 5
D
0 point 0 5
18

Which equation represents an exponential function with an initial value of 500 ?

A
f of x is equal to 100 times x to the 5th power
B
f of x is equal to 500 times 2 to the x th power
C
f of x is equal to 500 times x squared
D
f of x is equal to 100 times 5 to the x th power
19

The curve through the ordered pairs 0 comma 10 , 1 comma 5 , and 2 comma 2 point 5 can be represented by the function f of x is equal to 10 times 0 point 5 to the x th power What is the multiplicative rate of change of the function?

A
0 point 5
B
2 point 5
C
2
D
5
20

What is the common ratio of the sequence? negative 2 comma 6 comma negative 18 comma 54 comma dot dot dot

A
8
B
negative 3
C
negative 2
D
3

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