AnswersAlgebra IExponential Functions

Practice Test Answers

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1
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What are the domain and range of f of x is equal to 1 sixth to the x th power plus 2 ?

A
domain: start set x such that x is greater than negative 1 sixth end set ; range: start set y such that y is greater than 0 end set
B
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 2 end set
C
domain: start set x such that x is greater than 1 sixth end set ; range: start set y such that y is greater than 2 end set
D
domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 2 end set
2
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Pherris is graphing the function f of x is equal to 2 times 3 to the x th power He begins with the point 1 comma 6 Which could be the next point on his graph?

A
2 comma 18
B
3 comma 7
C
2 comma 12
D
2 comma 7
3

The function f of x is equal to 8 times 1 fourth to the x th power is reflected across the y -axis to create g of x Which table of values could be used to graph g of x ?

A
Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, '1 half' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '0'; Column 3, '0' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '32' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, '128'
B
Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, 'negative 128' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, 'negative 32' Row 4: Column 1, '0'; Column 2, '0'; Column 3, '0' Row 5: Column 1, '1'; Column 2, '2'; Column 3, 'negative 2' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, 'negative 1 half'
C
Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, '1 half' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, '2' Row 4: Column 1, '0'; Column 2, '8'; Column 3, '8' Row 5: Column 1, '1'; Column 2, '2'; Column 3, '32' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, '128'
D
Table with 3 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x'; Column 3, 'g of x' Row 2: Column 1, 'negative 2'; Column 2, '128'; Column 3, 'negative 128' Row 3: Column 1, 'negative 1'; Column 2, '32'; Column 3, 'negative 32' Row 4: Column 1, '0'; Column 2, '8'; Column 3, 'negative 8' Row 5: Column 1, '1'; Column 2, '2'; Column 3, 'negative 2' Row 6: Column 1, '2'; Column 2, '1 half'; Column 3, 'negative 1 half'
4

Which is the initial value that shrinks an exponential growth function by 50 percent ?

A
1 fourth
B
1 half
C
1 third
D
1 fifth
5

Which is the graph of the sequence defined by the function f of x is equal to 100 times 0 point 5 raised to the x minus 1 power ?

A
Image with description On a coordinate plane, 3 points are plotted. The points are (1 comma 100), (3 comma 90), (5 comma 80).
B
Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 100), (1 comma 50), (2 comma 25), (3 comma 12.5).
C
Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 100), (2 comma 50), (3 comma 25), (4 comma 12.5).
D
Image with description On a coordinate plane, 3 points are plotted. The points are (0 comma 100), (2 comma 90), (4 comma 80).
6

Tanisha is graphing the function f of x is equal to 25 times 3 fifths to the x th power She begins by plotting the point 1 comma 15 Which could be the next point she plots on the graph?

A
2 comma 9
B
2 comma 14 and 2 fifths
C
2 comma 5
D
2 comma negative 10
7

An exponential function f of x is reflected across the x -axis to create the function g of x Which is a true statement regarding f of x and g of x ?

A
The two functions will cross each other on the axis.
B
The two functions have the same initial value.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions have opposite output values of each other for any given input value.
8

Which value of A in the exponential function would cause the function to shrink? f of x is equal to a times 3 halves to the x th power

A
7 fourths
B
3 halves
C
5 fourths
D
4 fifths
9

Which function represents exponential growth?

A
f of x is equal to 3 to the x th power
B
f of x is equal to x plus 3
C
f of x is equal to x cubed
D
f of x is equal to 3 x
10

Which function represents exponential decay?

A
f of x is equal to 4 times open paren negative 2 thirds close paren to the x th power
B
f of x is equal to 1 half times open paren negative 3 halves close paren to the x th power
C
f of x is equal to 4 times 2 thirds to the x th power
D
f of x is equal to 1 half times 3 halves to the x th power
11

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The domain contains only natural numbers.
B
The range contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.
12

Which function has a simplified base of 4 cube root of 4 ?

A
f of x is equal to 4 times open paren cube root of 16 close paren raised to the 2 x power
B
f of x is equal to 4 times open paren cube root of 64 close paren raised to the 2 x power
C
f of x is equal to 2 times open paren cube root of 64 close paren to the x th power
D
f of x is equal to 2 times open paren cube root of 16 close paren to the x th power
13

Which is equivalent to 16 raised to the 3 fourths x power ?

A
4th root of 16 raised to the 3 x power
B
4 x th root of 16 cubed
C
3 x th root of 16 to the 4th power
D
cube root of 16 raised to the 4 x power
14

Which is the graph of g of x is equal to 2 thirds to the x th power minus 2 ?

A
Image with description On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0 comma 3).
B
Image with description On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0 comma 0 point 44).
C
Image with description On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0 comma negative 1).
D
Image with description On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0 comma 2 point 25).

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