Graphs of Functions and Non-Functions

Look at the graph.

Is this relation a function?

• Yes

• No

Does the graph represent a function? Does it pass the vertical line test?

• Yes, because the vertical line test shows there are no repeating input values

• No, because the vertical line test shows there are repeating input values

• No, because there are not enough dots to tell

• Yes because the dots are all  red

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

• Function
• Not a Function

Identify the following two points on the graph. (1) The bird's greatest distance from its nest. (2) The point that represents the bird's return to its nest.

a

b

(2)

(1)

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• True

• There are two intervals of time where the mouse population decreases.

• True

• The mouse population was decreased between day 40 and day 80.

• True

• The least number of mice during the study was 130.

• False

• The mouse population was the greatest around day 160.

Match the following This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200. Select True or False for each statement.

• False

• There are two intervals of time where the mouse population decreases.

• True

• The mouse population was the greatest around day 160.

• True

• The least number of mice during the study was 130.

• True

• The mouse population was decreased between day 40 and day 80.

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

X

O

A bird flies out of its nest.  This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).

Place a X to mark the point on the graph that represents the bird’s greatest distance from its nest.

Place a O to mark the point that represents the bird’s return to its nest.

a

b

O

X