Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input 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), where f is the function name and x is the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Is the mapping {(1,2), (2,3), (1,4)} a function?

Back

Not a Function (because the input 1 maps to two different outputs: 2 and 4).

Tags

CCSS.8.F.A.1

Front

What is f(6) for the function f(x)=3x-8?

Back

10 (calculated as f(6) = 3(6) - 8 = 18 - 8 = 10).

Tags

CCSS.HSF.IF.A.2

Front

Find the missing OUTPUT value for the function f(x)=x^2 when x=3.

Back

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

Tags

CCSS.HSF.IF.A.2

Front

Given f(x)=2x+10, for which value of x does f(x)=22?

Back

6 (solving 2x + 10 = 22 gives x = 6).

Tags

CCSS.HSF.IF.A.2

Front

How do you read f(x)?

Back

f of x.

Tags

CCSS.HSF.IF.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is associated with exactly one input value.