AnswersMathematics IExponential Growth Functions

Exponential Growth Functions — Quiz Answers

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1
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Which graph shows exponential growth?

A
Image with description On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
B
Image with description On a coordinate plane, a parabola opens up with vertex at 0 comma 0.
C
Image with description On a coordinate plane, a straight line with positive slope crosses the y-axis at negative 1 comma 0 and crosses the y-axis at 2 comma 0.
D
Image with description On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at 1 comma 0.
2
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A limited-edition poster increases in value each year with an initial value of 18 dollars After 1 year and an increase of 15 percent per year, the poster is worth 20 point 7 0 dollars Which equation can be used to find the value, y , after x years? (Round money values to the nearest penny.)

A
y is equal to 20 point 7 times 1 point 1 5 to the x th power
B
y is equal to 18 times 0 point 1 5 to the x th power
C
y is equal to 18 times 1 point 1 5 to the x th power
D
y is equal to 20 point 7 times 0 point 1 5 to the x th power
3

An account is opened with 7,595 point 9 6 dollars with a rate of increase of 2 percent per year. After 1 year, the bank account contains 7,746 point 9 0 dollars Assuming no deposits or withdrawals are made, which equation can be used to find y , the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y is equal to 7,595 point 9 6 times 0 point 0 2 to the x th power
B
y is equal to 7,595 point 9 6 times 1 point 0 2 to the x th power
C
y is equal to 7,746 point 9 0 times 1 point 0 2 to the x th power
D
y is equal to 7,746 point 9 0 times 0 point 0 2 to the x th power
4

Ramon is graphing the function f of x is equal to 3 times 4 to the x th power He begins by plotting the initial value. Which graph represents his initial step?

A
Image with description On a coordinate plane, the point 4 comma 0 is graphed.
B
Image with description On a coordinate plane, the point 0 comma 4 is graphed.
C
Image with description On a coordinate plane, the point 0 comma 3 is graphed.
D
Image with description On a coordinate plane, the point 3 comma 0 is graphed.
5

After years of maintaining a steady population of 32,000 , the population of a town begins to grow exponentially. After 1 year and an increase of 8 percent per year, the population is 34,560 Which equation can be used to predict, y , the number of people living in the town after x years? (Round population values to the nearest whole number.)

A
y is equal to 34,560 times 0 point 0 8 to the x th power
B
y is equal to 34,560 times 1 point 0 8 to the x th power
C
y is equal to 32,000 times 1 point 0 8 to the x th power
D
y is equal to 32,000 times 0 point 0 8 to the x th power
6

A function of the form f of x is equal to A b to the x th power is modified so that the b value remains the same but the a value is increased by 2 How do the domain and range of the new function compare to the domain and range of the original function? Choose two correct answers.

A
The range stays the same.
B
The domain becomes x is greater than 2 .
C
The domain becomes x is greater than or equal to 2 .
D
The range becomes y is greater than or equal to 2 .
E
The domain stays the same.
F
The range becomes y is greater than 2 .
7

Which best describes the graph of the function f of x is equal to 4 times 1 point 5 to the x th power ?

A
The graph passes through the point 0 comma 4 , and for each increase of 1 in the x -values, the y -values increase by a factor of 1 point 5 .
B
The graph passes through the point 0 comma 4 , and for each increase of 1 in the x -values, the y -values increase by 1 point 5 .
C
The graph passes through the point 0 comma 1 point 5 , and for each increase of 1 in the x -values, the y -values increase by 4 .
D
The graph passes through the point 0 comma 1 point 5 , and for each increase of 1 in the x -values, the y -values increase by a factor of 4 .
8

Which is the graph of f of x is equal to 5 times 2 to the x th power ?

A
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 2 and 2 comma 10.
B
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 2 and 2 comma 50.
C
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 5 and 2 comma 20.
D
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 5 and 2 comma 10.
9

Josiah invests 360 dollars into an account that accrues 3 percent interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y , after x years?

A
y is equal to 360 times 0 point 3 to the x th power
B
y is equal to 360 times 1 point 0 3 to the x th power
C
y is equal to 360 times 1 point 3 to the x th power
D
y is equal to 360 times 0 point 0 3 to the x th power
10

Which is the graph of f of x is equal to 0 point 5 times 4 to the x th power ?

A
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 2 comma 8, 3 comma 32.
B
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 4, 1 comma 16, 2 comma 64.
C
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 1 comma 8, 2 comma 32.
D
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 3 comma 8, 4 comma 16.

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