Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the output of the function rule x + 3 when the input is 4?

Back

7

Front

What is the output of the function rule 2x + 1 when the input is 2?

Back

5

Front

What is the input of the function rule x - 4 if the output is 7?

Back

11

Front

Is the mapping of inputs to outputs a function if every input has only one output?

Back

Yes, it is a function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function whose graph is a straight line.

Front

What is the slope of the function y = 2x + 1?

Back

The slope is 2.

Front

What is the y-intercept of the function y = 3x - 4?

Back

The y-intercept is -4.

Front

If a function has an input of 5 and an output of 10, what is the function rule if it doubles the input?

Back

The function rule is f(x) = 2x.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values.