Exponential Functions and Graphs

What is an exponential function?

• A function where the independent variable is the base of the exponent.

• A function where the independent variable appears as an exponent.

• A function that increases or decreases at a constant rate.

• A function that can only model growth processes.

What is a horizontal asymptote in the context of exponential functions?

• The minimum value the function can reach.

• A line the function approaches but never crosses.

• A line the function will intersect at least once.

• The maximum value the function can reach.

How can you tell if an exponential function represents growth?

• When the coefficient of the exponent is negative.

• When the base of the exponent is greater than one.

• When the base of the exponent is zero.

• When the base of the exponent is less than one.

What determines the y-intercept in an exponential function's equation?

• The exponent's base.

• The horizontal asymptote.

• The coefficient in front of the base.

• The independent variable.

What is the horizontal asymptote of exponential functions as discussed?

• y = 0

• y = 1

• y = -1

• There is no horizontal asymptote.

For the function y = 7(2.2)^x, what is the y-intercept?

• 1

• 2.2

• 7

• x

Select the function that represents an exponential decay.

• f(x) = 0.5*(3)^x

• f(x) = 2(0.5)^x

• f(x) = 3(1.5)^x

• f(x) = (1.5)^x

Identify the coordinates for the vertical intercept and the horizontal asymptote line on the graph.

How do you compare the growth rate of a linear function and an exponential function? Give examples.

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