HP Review for Midterm

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity. It indicates the behavior of the function at extreme values.

Tags

CCSS.HSF-IF.C.7D

Front

What does it mean if a zero has an even multiplicity?

Back

If a zero has an even multiplicity, the graph of the function touches the x-axis at that zero but does not cross it. This indicates a turning point at that x-value.

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values of x that make the denominator zero, as these values are excluded from the domain.

Front

Back

Front

What are inverse functions?

Back

Tags

CCSS.HSF-BF.B.4A

Front

How do you determine if two functions are inverses?

Back

Tags

CCSS.HSF-BF.B.4B

Front

What is a difference quotient?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Back

Front

What does it mean for a function to have no horizontal asymptote?

Back

A function has no horizontal asymptote if it does not approach a specific value as x approaches positive or negative infinity. This often occurs in functions that grow without bound.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of a turning point on the x-axis?

Back

A turning point on the x-axis indicates that the function has a zero at that point, and the multiplicity of that zero is even, meaning the graph touches the x-axis but does not cross it.