Functions & Function Notation

Front

What is the definition of a function?

Back

Every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values paired with it.

Tags

CCSS.8.F.A.1

Front

What point is represented by g(7) = 14?

Back

(7,14)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Is the following graph a function? Explain.

Back

Yes, because no x-value repeats.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

1

Tags

CCSS.HSF.IF.A.2

Front

What is function notation?

Back

A way to represent functions using symbols, typically f(x) to denote the function f evaluated at x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Each output is paired with exactly one input; no two different inputs produce the same output.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form f(x) = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2