# Lesson 10

Domain and Range (Part 1)

The practice problem answers are available at one of our IM Certified Partners

The cost for an upcoming field trip is \$30 per student. The cost of the field trip $$C$$, in dollars, is a function of the number of students $$x$$. Select all the possible outputs for the function defined by $$C(x)=30x$$. A: 20 B: 30 C: 50 D: 90 E: 100 ### Problem 2 A rectangle has an area of 24 cm2. Function $$f$$ gives the length of the rectangle, in centimeters, when the width is $$w$$ cm. Determine if each value, in centimeters, is a possible input of the function. • 3 • 0.5 • 48 • -6 • 0 ### Problem 3 Select all the possible input-output pairs for the function $$y=x^3$$. A:$(\text{-}1, \text{-}1)$B:$(\text{-}2, 8)$C:$(3, 9)$D:$(\frac12, \frac18)$E:$(4, 64)$F:$(1, \text{-}1)$### Problem 4 A small bus charges \$3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.

Function $$B$$ gives the amount of money that the bus operator earns when $$n$$ people ride the bus.

1. Identify all numbers that make sense as inputs and outputs for this function.
2. Sketch a graph of $$B$$.

### Problem 5

Two functions are defined by the equations $$f(x)=5-0.2x$$ and $$g(x)=0.2(x+5)$$

Select all statements that are true about the functions.

A:

$f(3)>0$

B:

$f(3)>5$

C:

$g(\text-1)=0.8$

D:

$g(\text-1)<f(\text-1)$

E:

$f(0)=g(0)$

(From Algebra1, Unit 4, Lesson 5.)

### Problem 6

The graph of function $$f$$ passes through the coordinate points $$(0,3)$$ and $$(4,6)$$.

Use function notation to write the information each point gives us about function $$f$$.

(From Algebra1, Unit 4, Lesson 3.)

### Problem 7

Match each feature of the graph with the corresponding coordinate point.

If the feature does not exist, choose “none”.

​​​​​

(From Algebra1, Unit 4, Lesson 6.)

### Problem 8

The graphs show the audience, in millions, of two TV shows as a function of the episode number.

For each show, pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.

(From Algebra1, Unit 4, Lesson 9.)