Equations as Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set called the domain.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the output of a function?

Back

To find the output of a function, substitute the input value into the function's rule.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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/run).

Tags

CCSS.8.EE.B.5

Front

What is a function rule?

Back

A function rule is an equation that describes the relationship between the input and output of a function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If y = 3x + 2, what is y when x = 4?

Back

y = 3(4) + 2 = 14.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of the function y = 5x when x = 3?

Back

y = 5(3) = 15.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If y = 2x - 4, what is x when y = 6?

Back

6 = 2x - 4; x = 5.

Tags

CCSS.HSF.IF.A.2