Function Machines

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line crosses the graph more than once, it is not a function.

Front

If f(x) = x^2 - 1, what is f(2)?

Back

f(2) = 3.

Front

What is the output of f(-2) if f(x) = x^2 - 5?

Back

f(-2) = -1.

Front

What are inputs and outputs in a function?

Back

Inputs are the values you put into a function, and outputs are the results you get from the function.

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If f(x) = 2x + 3, what is f(0)?

Back

f(0) = 3.

Front

What is an example of a function?

Back

An example of a function is f(x) = 3x + 1.