AP Precalculus Midterm Exam

Front

What is the definition of a polynomial function?

Back

Front

What does it mean for a function to be concave up?

Back

A function is concave up on an interval if its second derivative is positive on that interval, indicating that the graph of the function is curving upwards.

Front

What is the end behavior of a function?

Back

The end behavior of a function describes how the function behaves as the input values approach positive or negative infinity.

Front

How do you determine the x-intercepts of a polynomial function?

Back

Front

What is an exponential function?

Back

Front

What is the significance of the base in an exponential function?

Back

Front

What is a point of inflection?

Back

A point of inflection is a point on the graph of a function where the concavity changes, which can be identified by a change in the sign of the second derivative.

Front

What does it mean for a function to have an absolute minimum?

Back

A function has an absolute minimum at a point if the function's value at that point is less than or equal to the values of the function at all other points in its domain.

Front

What is the average rate of change of a function?

Back

Front

What is the relationship between the first derivative and the increasing/decreasing behavior of a function?

Back

If the first derivative of a function is positive on an interval, the function is increasing on that interval; if the first derivative is negative, the function is decreasing.