Functions (Algebra 1)

Front

What is a function?

Back

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

Front

How can you determine if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

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

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

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

Back

f(-3) = -3.

Front

Which of the following is a function: W, X, Y, Z?

Back

Z is a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If f(10) is undefined, what does that mean?

Back

It means that there is no output value for the input x = 10.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.