Relations, Functions, and Linear Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the difference between input and output in a function?

Back

Input is the value you provide to a function, while output is the value the function returns.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element with different second elements.

Tags

CCSS.8.F.A.1

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph.

Tags

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.