Exponential Functions

Front

What is the domain of the function f(x) = 5^x?

Back

-∞ ≤ x ≤ ∞

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Front

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

Back

300

Front

What type of graph is represented by an exponential function that increases?

Back

Exponential Growth

Front

Given the function y=3^x, what is the y-intercept?

Back

(0,3)

Front

What is the general form of an exponential function?

Back

f(x) = a(b^x) where a is the initial value and b is the base.

Front

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

Back

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

Front

How do you determine if a function is exponential?

Back

If it can be expressed in the form f(x) = a(b^x).

Front

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

Back

(0,2)

Front

What happens to the value of f(x) as x approaches infinity in an exponential growth function?

Back

f(x) approaches infinity.