Functions

Front

What is a function?

Back

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

Front

Is the relation a function if the x-value 11 has two y-values?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is the algebraic equation for the table if y = x - 3?

Back

The equation is y = x - 3.

Front

Which equation represents a linear function?

Back

y = 2x + 4 is a linear function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

What is the slope in the equation y = 5x + 5?

Back

The slope is 5.

Front

What is the y-intercept in the equation y = 5x + 5?

Back

The y-intercept is 5.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

If any x-value is repeated with different y-values, it is not 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.