Unit 3B Review

Front

What is a relative minimum in a graph?

Back

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

Front

How do you determine the number of relative minimums in a graph?

Back

By analyzing the graph or the first derivative of the function to find points where the derivative changes from negative to positive.

Front

What is factored form of a polynomial?

Back

Factored form expresses a polynomial as a product of its linear factors, showing its roots.

Front

What does the end behavior of a polynomial indicate?

Back

The end behavior describes how the values of the polynomial function behave as x approaches positive or negative infinity.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the direction of the graph's end behavior: positive means it rises to the right, negative means it falls to the right.

Front

What does an even degree polynomial indicate about its end behavior?

Back

An even degree polynomial will have the same end behavior on both sides: both ends will either rise or fall together.

Front

What is a polynomial inequality?

Back

A polynomial inequality is an inequality that involves a polynomial expression, often solved to find the range of x values that satisfy the inequality.

Front

How do you solve a polynomial inequality?

Back

1. Factor the polynomial. 2. Determine the critical points. 3. Test intervals between the critical points to find where the inequality holds.

Front

Back

It represents an interval of x values that are solutions to a polynomial inequality, indicating that x is greater than -5 and less than or equal to 3.

Front

What is the difference between a relative minimum and an absolute minimum?

Back

A relative minimum is the lowest point in a specific interval, while an absolute minimum is the lowest point over the entire domain of the function.