Exponential Functions Review

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as (-∞, ∞).

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the end behavior of an exponential function as x approaches infinity?

Back

As x approaches infinity, the function f(x) approaches infinity.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the value of the function when x = 0.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you find the y-intercept of an exponential function?

Back

To find the y-intercept of an exponential function, evaluate the function at x = 0.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where a is a constant and b is the base.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What is the range of an exponential function?

Back

The range of an exponential function is (0, ∞) if the base is greater than 1.

Front

What is the difference between arithmetic and geometric sequences?

Back

Arithmetic sequences have a constant difference between terms, while geometric sequences have a constant ratio.