FUNCTIONS

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Identify a function from the following pairs: (9,5) (10,5) (9,-5) (10,-5)

Back

This is not a function because the x-value 9 has two different y-values (5 and -5).

Front

Identify a function from the following pairs: (6,-5) (7,-3) (8,-1) (9,1)

Back

This is a function because each x-value has only one corresponding y-value.

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

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

No, because the input 1 is associated with two different outputs (2 and 4).