AnswersAlgebra 2 with ProbabilityExponential and Logarithmic Functions

Exponential and Logarithmic Functions — Test Answers

25 verified answers
21
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Which graph represents an exponential function?

A
Image with description On a coordinate plane, the curve passes through (negative 2 comma 8), (negative 1 comma 1), the origin, (1 comma negative 1), and (2 comma negative 8). The curve decreases rapidly in the second and the fourth quadrant and changes direction at the origin.
B
Image with description A coordinate plane with x- and y-axes shows a two-part curve separated by the y-axis. The left curve approaches the x-axis from above as it extends to the left and rises sharply upward near the y-axis, while the right curve drops sharply downward near the y-axis and approaches the x-axis from above as it extends to the right. Arrowheads indicate the curves continue indefinitely.
C
Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma 1), (4 comma 2),and (8 comma 3) in the first quadrant.
D
Image with description A coordinate plane with x- and y-axes shows a single continuous curve. The curve starts high on the left, slopes downward through the point (0 comma 1), then bends sharply to the right and gradually levels off above the x-axis as it extends to the right. Arrowheads indicate the curve continues indefinitely in both directions.
22
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The range of which function is open paren 2 comma infinity close paren ?

A
y is equal to 5 raised to the x plus 2 power
B
y is equal to 2 times open paren 5 to the x th power close paren
C
y is equal to 5 to the x th power plus 2
D
y is equal to 2 to the x th power
23

Which statement best describes the domain and range of p times x is equal to 6 raised to the negative x power and q times x is equal to 6 to the x th power ?

A
p times x and q times x have different domains but the same range.
B
p times x and q times x have the same domain and the same range.
C
p times x and q times x have the same domain but different ranges.
D
p times x and q times x have different domains and different ranges.
24

Which statement best describes the domain and range of f of x is equal to negative 7 to the x th power and g of x is equal to 7 to the x th power ?

A
f of x and g of x have different domains and different ranges.
B
f of x and g of x have the same domain and the same range.
C
f of x and g of x have the same domain but different ranges.
D
f of x and g of x have different domains but the same range.
25

Which function is shown in the graph?

A
y is equal to 1 half raised to the x minus 3 power plus 1
B
y is equal to 1 half raised to the x minus 1 power plus 3
C
y is equal to 1 half raised to the x plus 1 power minus 3
D
y is equal to 1 half raised to the x plus 3 power minus 1

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