Key Features of Exponential Graphs

Front

A line that the graph continually approaches but never touches is a(n) _____________.

Back

asymptote

Front

What is the y-intercept shown on the graph of the function y = 4^x + 3?

Back

(0, 3)

Front

Which equation matches the graph of an exponential function that shifts up by 3 units?

Back

y = 4^x + 3

Front

What is the y-intercept of the function y = 4^x when x = 0?

Back

(0, 5)

Front

What is the y-intercept of the function y = 4^x + 3?

Back

(0, 3)

Front

The general form of an exponential function is _____________.

Back

y = a * b^x, where a is the initial value and b is the growth factor.

Front

If b > 1 in the function y = a * b^x, the graph represents _____________.

Back

exponential growth.

Front

If 0 < b < 1 in the function y = a * b^x, the graph represents _____________.

Back

exponential decay.

Front

The horizontal line that the graph approaches as x approaches infinity is called _____________.

Back

the horizontal asymptote.

Front

In the function y = 4^x, what happens to y as x increases?

Back

y increases rapidly.