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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an output in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

Front

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

Back

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

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

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

Tags

CCSS.HSF.IF.A.2

Front

What is a relation in mathematics?

Back

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

Tags

CCSS.8.F.A.1