Representing and Interpreting Functions

Is this a function? 

• Yes, because every input has exactly one output

• No, because -1 has more than one output 

• No, because 3 is in the input and the output 

What is a rule that assigns exactly one output to ever input? 

• mapping diagram

• table 

• function

• function notation 

Is this a function? 

• Yes, because 15 is assigned the output value of 7 and 9

• No, because 15 has more than one output 

• No, because -1, 0, and 15 have the same output value of 9 

Is the table on the left a function? 

• Yes, because every input has exactly one output

• No, because 1 and 3 have the same output value 

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

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

• True

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

• False

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

• True

• The mouse population was the greatest around day 160.

The graphs of y = g(x) and y = f(x) are shown.  Place points on the graph that will satisfy each given condition.

* A point on the graph of g where x = 0 ​ (a)  

* A point on the graph of g where f(x) > g(x) ​ (b)   or ​ ​ (c)  

* A point on the graph of f where f(x) = 0 ​ (d)  

• (0,2)

• [-2.5 , -0,5]

• x >3

• (2.5, 0)

• (0,1)

• [-5, 5]

• [-4,0]

The graphs of y = g(x) and y = f(x) are shown.  Place points on the graph that will satisfy each given condition.

* A point on the graph of g where x = 0 ​ (a)  

* A point on the graph of g where f(x) > g(x) ​ (b)   or ​ ​ (c)  

* A point on the graph of f where f(x) = 0 ​ (d)  

• (0,2)

• [-2.5 , -0,5]

• x >3

• (2.5, 0)

• (0,1)

• [-5, 5]

• [-4,0]

Based on the graph, what is the value of h?

Which of the following represents a function?

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