AnswersAlgebra IIGraphing Exponential Functions

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1
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Which graph represents an exponential growth function?

A
Image with description On a coordinate plane, the curve passes through (0 comma 1) and increase rapidly in the first quadrant as the value of x increases. It goes towards the x axis as x decrease in the second quadrant.
B
Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma 1), (4 comma 2),and (9 comma 3) in the first quadrant.
C
Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma negative1), (4 comma negative 2),and (9 comma negative 3) in the fourth quadrant.
D
Image with description On a coordinate plane the graph decreases rapidly in the second quadrant and passes through (0 comma 1). It levels of on the x axis in the first quadrant.
2
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Which function has a range of y is less than 3 ?

A
y is equal to 2 times 3 to the x th power
B
y is equal to 3 times 2 to the x th power
C
y is equal to negative 2 to the x th power plus 3
D
y is equal to 2 to the x th power minus 3
3

Which graph represents an exponential function?

A
Image with description On a coordinate plane the curve passes through (negative 1 comma 0) and (0 comma 1). It increase rapidly in the third quadrant and goes towards the line y equals 2 in the first quadrant.
B
Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. One of the curve lies in the second quadrant and passes through (negative 3 comma 3). It increase rapidly for values of x between negative 3 and 0. The other curve increases rapidly in the third quadrant and passes through (negative 2 comma negative 2). It passes through the first quadrant as x increase.
C
Image with description On a coordinate plane, the curve is symmetric about y axis in the third and the fourth quadrant. It has maxima at the origin and passes through (negative 2 comma negative 4) and (2 comma negative 4).
D
Image with description On a coordinate plane, the graph originate at (negative 2 comma 0) and passes through (negative 1 comma 1) and (1 comma 2). It increases as x increases in the first quadrant.
4

Which graph represents an exponential function?

A
Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. The curve in the first quadrant passes through (1 comma 1), do not intercept the y axis and decrease sharply between for values of x less than 1. The curve goes towards the x axis for x greater than 1. The other part of the curve is the mirror image across the y axis of the curve in the first quadrant.
B
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.
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 On a coordinate plane, the curve passes through (0 comma 1) and decrease rapidly in the second quadrant as the value of x increases. It goes towards the x axis as increases in the first quadrant.
5

What are the domain and range of the function f of x is equal to 3 to the x th power plus 5 ?

A
domain: open paren negative infinity comma infinity close paren ; range: open paren 5 comma infinity close paren
B
domain: open paren 5 comma infinity close paren ; range: open paren negative infinity comma infinity close paren
C
domain: open paren negative infinity comma infinity close paren ; range: open paren 0 comma infinity close paren
D
domain: open paren 0 comma infinity close paren ; range: open paren negative infinity comma infinity close paren
6

Which set of ordered pairs could be generated by an exponential function?

A
open paren negative 1 comma negative 1 half close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 half close paren , open paren 2 comma 1 close paren
B
open paren negative 1 comma 1 half close paren , open paren 0 comma 1 close paren , open paren 1 comma 2 close paren , open paren 2 comma 4 close paren
C
open paren negative 1 comma negative 1 close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 8 close paren
D
open paren negative 1 comma 1 close paren , open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 4 close paren
7

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

A
The domain is all real numbers. The range is all real numbers.
B
The domain is all real numbers. The range is all real numbers greater than zero.
C
The domain is all real numbers greater than zero. The range is all real numbers.
D
The domain is all real numbers greater than zero. The range is all real numbers greater than zero.
8

Which set of ordered pairs could be generated by an exponential function?

A
open paren 1 comma 1 close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 ninth close paren , open paren 4 comma 1 over 16 close paren
B
open paren 1 comma 1 half close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 eighth close paren , open paren 4 comma 1 over 16 close paren
C
open paren 1 comma 1 close paren , open paren 2 comma 1 half close paren , open paren 3 comma 1 third close paren , open paren 4 comma 1 fourth close paren
D
open paren 1 comma 1 half close paren , open paren 2 comma 1 fourth close paren , open paren 3 comma 1 sixth close paren , open paren 4 comma 1 eighth close paren
9

Which graph represents an exponential function?

A
Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. One of the curve decreases rapidly in the second quadrant and passes through (0 comma 1). In the first quadrant it goes towards the x axis. The other curve cuts the x axis at (negative 4 comma 0) and then goes rapidly towards the negative side of the y axis in the third quadrant
B
Image with description On a coordinate plane, the curve passes through (negative 2 comma negative 4), the origin, and (2 comma 4). The curve decreases rapidly in the first and the third quadrant and changes direction at the origin.
C
Image with description On a coordinate plane, the curve passes through (0 comma 1), (1 comma 3) and (2 comma 9).It increases rapidly in the first quadrant as x increase and goes towards the y axis as x decreases in the second quadrant.
D
Image with description On a coordinate plane, the curve originate from the origin and passes through the points (1 comma 3), (4 comma 6), and (9 comma 9) in the first quadrant.
10

Which set of ordered pairs could be generated by an exponential function?

A
open paren 0 comma 0 close paren , open paren 1 comma 1 close paren , open paren 2 comma 8 close paren , open paren 3 comma 27 close paren
B
open paren 0 comma 1 close paren , open paren 1 comma 2 close paren , open paren 2 comma 5 close paren , open paren 3 comma 10 close paren
C
open paren 0 comma 1 close paren , open paren 1 comma 3 close paren , open paren 2 comma 9 close paren , open paren 3 comma 27 close paren
D
open paren 0 comma 0 close paren , open paren 1 comma 3 close paren , open paren 2 comma 6 close paren , open paren 3 comma 9 close paren

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