Math 3 Fall Final Review

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as the input values approach positive or negative infinity. It is determined by the leading term of the polynomial.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph of the function, there is a corresponding point (x, -y) on the graph of the reflected function.

Front

What is a vertical stretch in a function?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph of the function taller without changing its x-intercepts.

Front

How do you identify the parent function of a transformation?

Back

The parent function is the simplest form of a function type (e.g., linear, quadratic) before any transformations (shifts, stretches, reflections) are applied.

Front

What is the process for multiplying rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the formula for finding a common denominator when adding fractions?

Back

The common denominator is the least common multiple (LCM) of the denominators of the fractions being added.

Front

Back

Front

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

Back

The leading coefficient determines the direction of the graph's end behavior and the overall shape of the polynomial function.

Front

What does it mean for a function to be shifted right by 5 units?

Back

A function is shifted right by 5 units when every x-value in the function is increased by 5, resulting in a horizontal translation.

Front

What is the difference between a vertical stretch and a vertical compression?

Back

A vertical stretch occurs when the function is multiplied by a factor greater than 1, while a vertical compression occurs when it is multiplied by a factor between 0 and 1.