functions domain range

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 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

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it 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 has a unique y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.

Tags

CCSS.8.F.A.1

Front

How can you identify a function from a mapping diagram?

Back

In a mapping diagram, if any x-value points to more than one y-value, it is not a function.

Tags

CCSS.8.F.A.1

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, and it determines the corresponding y-value (output).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Tags

CCSS.8.F.A.1

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each x-value has a unique y-value and each y-value corresponds to only one x-value.