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 using calculus to find critical points and evaluating the function's behavior around those points.

Front

What are polynomial inequalities?

Back

Polynomial inequalities are expressions that involve polynomial functions and an inequality sign (e.g., <, >, ≤, ≥).

Front

How do you solve a polynomial inequality?

Back

1. Find the roots of the corresponding polynomial equation. 2. Test intervals between the roots to determine where the inequality holds true.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain, meaning its graph is symmetric about the y-axis.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain, meaning its graph is symmetric about the origin.

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is always all real numbers, denoted as (-∞, +∞).

Front

What is end behavior in polynomial functions?

Back

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

Front

How do you determine the end behavior of a polynomial function?

Back

By analyzing the leading term of the polynomial. The sign and degree of the leading term dictate the end behavior.

Front

What is the leading term of a polynomial?

Back

The leading term is the term in a polynomial with the highest degree, which determines the polynomial's end behavior.