Exponential Function Graph

What is the parent function of an exponential function?

• f(x) = x^a

• f(x) = log(x)

• f(x) = e^x

• f(x) = a^x

What is the domain of an exponential function?

• Only positive numbers

• Complex numbers

• All real numbers

• Integers only

What is the range of an exponential function?

• Only integers

• All real numbers less than 0 (y < 0)

• All real numbers greater than 0 (y > 0)

• Only positive integers

What is the x-intercept of an exponential function?

• Set the exponential function equal to zero and solve for x.

• Find the y-intercept and switch the x and y values.

• Calculate the average of the function over a specified interval.

• Graph the function and find where it crosses the x-axis.

What is the y-intercept of an exponential function?

• The y-intercept of an exponential function is always at (0, 0)

• The y-intercept of an exponential function is always at (0, b) where b is the initial value or the value of the function when x=0.

• The y-intercept of an exponential function is at (b, 0)

• The y-intercept of an exponential function is at (1, 0)

How does changing the base affect the graph of an exponential function?

• Changing the base affects the symmetry of the exponential function graph.

• Changing the base affects the slope of the exponential function graph.

• Changing the base affects the horizontal stretch or compression of the exponential function graph.

• Changing the base affects the vertical shift of the exponential function graph.

What is the general shape of the graph of an exponential function?

• Curve

• Triangle

• Square

• Straight line

If the base of an exponential function is greater than 1, how does the graph look?

• The graph will have a steep upward slope.

• The graph will be a straight line.

• The graph will have a steep downward slope.

• The graph will have a horizontal slope.

If the base of an exponential function is between 0 and 1, how does the graph look?

• The graph of an exponential function with a base between 0 and 1 is a straight line.

• The graph of an exponential function with a base between 0 and 1 increases from left to right.

• The graph of an exponential function with a base between 0 and 1 remains constant.

• The graph of an exponential function with a base between 0 and 1 decreases from left to right.

What happens to the graph of an exponential function as x approaches negative infinity?

• Intersects the x-axis

• Approaches the x-axis but never crosses it

• Approaches the y-axis

• Becomes a straight line