AnswersAlgebra IExponential Functions

Practice Test Answers

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1
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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 have the same initial value.
B
The two functions have opposite output values of each other for any given input value.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions will cross each other on the axis.
2
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Which is equivalent to 16 raised to the 3 fourths x power ?

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

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 greater than 1 sixth end set ; range: start set y such that y is greater than 2 end set
C
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
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 2 end set
4

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

A
Image with description A coordinate plane displays the x-axis labeled from negative 4 to 4 in increments of 2 and the y-axis labeled from negative 4 to 4 in increments of 2. A decreasing curve passes through the labeled point 0 comma 2.25 and continues from the upper left toward the lower right. It passes through approximately the points negative 1 comma 3, 2 comma 1.1, and 4 comma 0.5.
B
Image with description A coordinate plane displays the x-axis labeled from negative 4 to 4 in increments of 2 and the y-axis labeled from negative 4 to 4 in increments of 2. A decreasing curve passes through the labeled point 0 comma 0.44 and continues from the upper left toward the lower right. It passes through approximately the points negative 4 comma 2, negative 2 comma 1, 2 comma 0.2, and 4 comma 0.1.
C
Image with description A coordinate plane displays the x-axis labeled from negative 4 to 4 in increments of 2 and the y-axis labeled from negative 4 to 4 in increments of 2. A decreasing curve passes through the labeled point 0 comma 3 and continues from the upper left toward the lower right. The graph passes through approximately the points negative 2 comma 4, 2 comma 2.4, and 4 comma 2.
D
Image with description A coordinate plane displays the x-axis labeled from negative 4 to 4 in increments of 2 and the y-axis labeled from negative 4 to 4 in increments of 2. A decreasing curve passes through the labeled point 0 comma negative 1 and continues from the upper left toward the lower right. The graph passes through approximately the points negative 4 comma 3, negative 2 comma 0.5, 2 comma negative 1.5, and 4 comma negative 2.
5

Which function represents exponential growth?

A
f of x is equal to x plus 3
B
f of x is equal to 3 to the x th power
C
f of x is equal to 3 x
D
f of x is equal to x cubed
6

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 3 halves 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 open paren negative 3 halves close paren to the x th power
8

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

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