Graphing Exponential Functions

Front

What defines exponential growth in a function?

Back

The base (B) is greater than 1.

Front

What is the general form of an exponential function?

Back

y = B^x, where B is the base.

Front

What does it mean if the base of an exponential function is between 0 and 1?

Back

The function represents exponential decay.

Front

What is the y-intercept of the function y = 3^x?

Back

(0, 1)

Front

How do you identify an exponential decay function?

Back

The base (B) is between 0 and 1.

Front

What is the equation for an exponential function that grows rapidly?

Back

y = 2^x.

Front

What happens to the value of an exponential function as x approaches infinity when B > 1?

Back

The function approaches infinity.

Front

What is the value of y when x = 0 in the function y = 2^x?

Back

y = 1.

Front

What is the graphical representation of y = (1/4)^x?

Back

It shows exponential decay.

Front

What is the effect of changing the base in an exponential function?

Back

It affects the rate of growth or decay.