1.6 & 1.7: Relations and Functions

Front

Is the relation shown in the graph a function?

Back

No, a relation is not a function if any vertical line intersects the graph at more than one point.

Front

Given f(x) = 3x + 7, find f(5).

Back

f(5) = 3(5) + 7 = 22.

Front

What is f(4) if f(x) = 4x + 5?

Back

f(4) = 4(4) + 5 = 21.

Front

What is a set of ordered pairs called?

Back

A set of ordered pairs is called a Relation.

Front

Which type of relation is shown in a mapping diagram?

Back

A mapping diagram shows a Mapping relation.

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 2(0) + 3 = 3.

Front

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

Back

A one-to-one relation means that each output is paired with exactly one input.

Front

What is the domain of a function?

Back

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