Domain and Range Unit 4

What is the domain?

• all real numbers
• 1<x<6
• {1,3,4,6}
• {-2,2,5}

What is the range?

• {-2,2,5}
• {1,3,5,6}
• all real numbers 
• -2<y<5

What is domain?

• A set of ordered pairs

• The collection of all inputs or x-values

• The collection of all outputs or y-values

• Has only one output for every input

What is range?

• The collection of all inputs or x-values

• Has only one output for each input

• A set of ordered pairs

• The collection of all outputs or y-values

Function p represents the number of people in the museum on a Tuesday as a function of hours since the museum opened.

Here is the graph of function p.

Based on the graph and the situation, which domain and range make sense for function p?

• Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.

• Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.

The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas. Which equation represents the inverse function: the gallons of gas as a function of the distance in miles?

•  $g=40m$  

•  $g=m-40$  

•  $g=\frac{m}{40}$  

•  $40g=m$  

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.

In this situation, what information would the inverse function give us?

• The number of visits

• How many gym visits if we know the monthly cost

• The cost of a membership

• The monthly cost if we know the gym visits

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.

Find the inverse function.

• $\frac{c\left(n\right)-50}{4}=n$

• $c=\frac{50n}{4}$

• $4c-50\ =\ n$

• $n=50+4c$

A movie theater is offering a special summer pass. Passholders pay $5 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.

Describe the range of function C.

• Whole numbers from 0 to 15

• 0 to 15

• Multiples of $5 from $0 to $25

• $0-$25

A movie theater is offering a special summer pass. Passholders pay $5 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.

Describe the domain of function C.

• Whole numbers from 0 to 15

• 0 to 15

• Multiples of $5 from $0 to $25

• $0-$25