Functions & Function Notation

Front

What is a function?

Back

A function is a 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 relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x) to denote the output of the function f for the input x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Convert the equation y = 3x + 2 into function notation.

Back

f(x) = 3x + 2.

Tags

CCSS.HSF.IF.A.2

Front

What does h(8) represent in the function h(x) = 5 - 9x?

Back

h(8) represents the output of the function h when the input x is 8.

Tags

CCSS.HSF.IF.A.2

Front

Calculate h(8) for h(x) = 5 - 9x.

Back

h(8) = 5 - 9(8) = 5 - 72 = -67.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of g(7) if g(7) = 14?

Back

The output is 14 when the input is 7, represented as the point (7, 14).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Identify the function from the following set of values: (2, 3), (2, 4), (3, 5).

Back

This set is not a function because the x-value 2 has two different y-values (3 and 4).

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

Front

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

Back

f(3) = 3^2 = 9.

Tags

CCSS.HSF.IF.A.2