Introduction to Linear Functions

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to be nonlinear?

Back

Tags

CCSS.8.F.A.3

Front

What is the y-intercept of a linear function?

Back

Front

How can you identify a proportional relationship?

Back

A proportional relationship can be identified if the ratio of y to x is constant, meaning that as x increases, y increases at a constant rate.

Tags

CCSS.7.RP.A.2A

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line, where the change in x is zero, making the slope calculation (rise/run) impossible.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

How do you determine if a statement about a graph is true or false?

Back

To determine if a statement about a graph is true or false, analyze the graph's data points and trends to see if they support the statement.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What is the equation of a horizontal line?

Back