AP Precalculus Midterm Exam

Front

What does it mean for a graph to have a positive and increasing rate of change?

Back

A positive and increasing rate of change indicates that the function is rising and the slope is getting steeper as you move from left to right on the graph.

Front

What is a vertical asymptote in a rational function?

Back

A vertical asymptote is a vertical line x = a where the function approaches infinity or negative infinity as it gets close to a. It indicates that the function is undefined at that point.

Front

What is a hole in the graph of a rational function?

Back

A hole occurs at a point where both the numerator and denominator of the function equal zero, indicating that the function is not defined at that specific x-value, but the limit exists.

Front

How do you determine the nth term of a geometric sequence?

Back

Front

What is the significance of the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in the sequence is multiplied to get the next term. It determines the growth or decay of the sequence.

Front

What does it mean for a function to be increasing, decreasing, or constant over an interval?

Back

A function is increasing if its output values rise as the input values increase, decreasing if the output values fall, and constant if the output values remain the same.

Front

How can you identify the behavior of a function based on its graph?

Back

You can identify the behavior of a function by observing the slope of the graph: positive slope indicates increasing, negative slope indicates decreasing, and a flat line indicates constant.

Front

What is the relationship between the rate of change and the slope of a graph?

Back

The rate of change of a function is represented by the slope of its graph. A steeper slope indicates a greater rate of change.

Front

Back

Front

How do you find the equivalent expression for an exponential function?

Back