Exponential Functions

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

Is the function f(x) = 300(1.16)^x an example of exponential growth or decay?

Back

Decay

Front

What is the starting term (a) for the function: f(x) = 300(1.16)^x?

Back

300

Front

What is the y-intercept of the function f(x) = 3(2)^x?

Back

3

Front

Identify the y-intercept (initial value) of the function f(x) = 2(4)^x.

Back

2

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where 'a' is the y-intercept and 'b' is the base.

Front

What does the base 'b' indicate in an exponential function?

Back

The growth (b > 1) or decay (0 < b < 1) factor.

Front

How do you determine if an exponential function is increasing or decreasing?

Back

If the base 'b' is greater than 1, it is increasing; if 'b' is between 0 and 1, it is decreasing.

Front

What is the y-intercept of the function f(x) = 5(3)^x?

Back

5

Front

If f(x) = 10(0.5)^x, what type of function is this?

Back

Exponential decay.