Relative Minimums and Maximums of a Polynomial

Front

What is a relative maximum?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What are turning points in a polynomial function?

Back

Turning points are points on the graph where the function changes direction from increasing to decreasing or vice versa.

Front

How do you find relative maximums and minimums?

Back

Relative maximums and minimums can be found by identifying the turning points of the function, often using the first derivative test.

Front

What is the first derivative test?

Back

The first derivative test involves finding the derivative of a function, setting it to zero to find critical points, and determining the sign of the derivative around those points.

Front

What does the second derivative test determine?

Back

The second derivative test helps determine whether a critical point is a relative maximum, relative minimum, or neither by analyzing the concavity of the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is an absolute maximum?

Back

An absolute maximum is the highest point over the entire domain of a function.

Front

What is an absolute minimum?

Back

An absolute minimum is the lowest point over the entire domain of a function.

Front

How do you identify the range from a graph?

Back

The range can be identified by looking at the lowest and highest points on the graph and determining the y-values.