Functions - Georgia Milestone Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What does it mean if a graph is not a function?

Back

A graph is not a function if any vertical line drawn through the graph intersects it at more than one point.

Front

What does h(4) = 5 represent in the function h(t)?

Back

It means that after 4 weeks, the height of the plant is 5 inches.

Front

What is the meaning of p(8) = 52 in the function p(x) = 5x + 12?

Back

It means that after 8 days, Ms. Brackemyer has collected a total of 52 pencils.

Front

In the context of functions, what is a dependent variable?

Back

A dependent variable is the output of a function, which depends on the value of the independent variable.

Front

In the function p(x) = 5x + 12, what does the number 5 represent?

Back

The number 5 represents the rate at which Ms. Brackemyer collects pencils each day.

Front

What is an independent variable in a function?

Back

An independent variable is the input of a function, which can be freely chosen.

Front

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

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

What does the notation f(x) mean?

Back

f(x) represents the output of the function f for the input x.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.