Functions & Function Notation

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Tags

CCSS.8.F.A.1

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

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 does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x-value).

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the graph at most once (Vertical Line Test).

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where f is the function name and x is the input value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of the function f(x) = x^2 when x = -3?

Back

f(-3) = (-3)^2 = 9.

Tags

CCSS.HSF.IF.A.2

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of the function, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

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, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3