Exponential Functions Graphs Growth Rate

Which graph shows exponential growth?

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What is the rate of change of the function shown on the graph? Round to the nearest tenth.

• 2.00

• 2.50

• 5.25

• 10.50

What is the rate of change of the function described in the table?

• 12/5

• 5

• 25/2

• 25

Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

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

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Which is the graph of f(x) = 0.5(4)x?

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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.

The graph represents the function f(x) = 10(2)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.

What are the domain and range of the function on the graph?

• 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.

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

Which statements could he include in his explanation? Select two options.

• The domain of both functions is all real numbers.

• The domain of f(x) is x > 5.

• The domain of g(x) is x > 5.

• The range of f(x) is y > 0.

• The range of g(x) is y > 0.