Function Machines

Front

What is a function machine?

Back

A function machine is a way to describe a relationship between inputs and outputs, where each input has exactly 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

What is an input in a function?

Back

An input is the value you put into a function machine to get an output.

Front

What is an output in a function?

Back

An output is the value you get from a function machine after processing the input.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input corresponds to exactly one output.

Front

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is the formula for finding the output of a function?

Back

The output can be found by substituting the input value into the function's formula.

Front

What is the output of the function machine if the input is x = 5 and the function is f(x) = x - 20?

Back

f(5) = 5 - 20 = -15.

Front

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

Back

f(2) = 2^2 - 1 = 3.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.