Introduction to Functions

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

What is the vertical line test?

Back

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

Front

Which of the following is a function? {(2, 3), (1, 5), (2, 7)}

Back

Not a function, because the input 2 has two different outputs (3 and 7).

Tags

CCSS.8.F.A.1

Front

Which of the following is a function? {(-1, 5), (-2, 6), (-3, 7)}

Back

This is a function, as each input has a unique output.

Tags

CCSS.8.F.A.1

Front

Which of the following is a function? {(11, 9), (11, 5), (9, 3)}

Back

Not a function, because the input 11 has two different outputs (9 and 5).

Tags

CCSS.8.F.A.1

Front

Which of the following is a function? {(3, 8), (0, 8), (3, -2)}

Back

Not a function, because the input 3 has two different outputs (8 and -2).

Tags

CCSS.8.F.A.1

Front

Given the relation {(2, 3), (-5, 2), (6, -5), (0, 3), (-1, 0)}, which point would make it not a function if added? (0, -1)

Back

Adding (0, -1) would make it not a function, as 0 would have two outputs (3 and -1).

Tags

CCSS.8.F.A.1

Front

What does it mean for a graph to fail the vertical line test?

Back

It means that there exists at least one vertical line that intersects the graph at more than one point, indicating that the relation is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value corresponds to one y-value.

Tags

CCSS.8.F.A.1

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.

Tags

CCSS.8.F.A.1