Function Notation, Graphs and Story Problems

Given the graph of f(x), what does f(6) = 30 mean in context?

• When 6 books are sold, the store makes $30

• When 30 books are sold, the store makes $6

• When 6 books are sold, the store makes $36

• The store makes $5 per book.

What does f(1990)=214 mean in the context of the problem?

• In 1990 there were 214 million people with health insurance

• In 214, there were 1990 people with health insurance

• When there are 1990 people, the year is 214

• None of these

What is f(1)?

• 1

• 5

• 0

• 4

The graph models Craig’s trip to visit his friend in another state. In the course of his travels, he encountered both highway and city driving. What might have happened in the interval between B and C? (Check 2 that apply)

• He increased his speed

• He stopped at a rest stop for food and gas

• He turned around and went back home

• He was caught in stand still traffic

Given the function f(x) = 3x + 1, evaluate f(a + 2) :

• 7

• 3a + 5

• 3a + 7

• 3a + 2

• Not possible

• 5

• 3

• 8

Is the following graph a function? Explain.

• Yes, because no x-value repeats.

• Yes, because they are individual dots.

• No, because the x repeats.

• No, because it is not a line.

Is the relation a function? Why?

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

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

Is this mapping a function or not a function? 

• Function

• Not a Function 

Is this table a function or not a function? 

• Function

• Not a Function