Exponential Growth Functions Answers

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Which is the graph of f(x) = 5(2)x?

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 50).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 10).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 10).

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Which best describes the graph of the function f(x) = 4(1.5)x?

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by 1.5.

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.

The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (negative 1, 0.8), (0, 2), (1, 5), (2, 12.5).

2.00

2.50

5.25

10.50

An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282?

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Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.

On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).

On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

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% 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.)

y = 32,000(1.08)x

y = 32,000(0.08)x

y = 34,560(1.08)x

y = 34,560(0.08)x

Which equation represents an exponential function that passes through the point (2, 80)?

f(x) = 4(x)5

f(x) = 5(x)4

f(x) = 4(5)x

f(x) = 5(4)x

How would the graph change if the b value in the equation is decreased but remains greater than 1? Check all that apply.

The graph will begin at a lower point on the y-axis.

The graph will increase at a faster rate.

The graph will increase at a slower rate.

The y-values will continue to increase as x-increases.

The y-values will each be less than their corresponding x-values.

The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500 and its value increases at a rate of 5% per year. Find the value of the item after 4 years.

$578.81

$607.75

$1687.50

$2531.25

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

The domain includes all integers, and the range is y ≥ 0.

The domain includes all integers, and the range is y > 0.

The domain includes all real numbers, and the range is y ≥ 0.

The domain includes all real numbers, and the range is y > 0.

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Exponential Growth Functions Answers

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