Lesson 10

Domain and Range (Part 1)

• Let’s find all possible inputs and outputs for a function.

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 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 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”.

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(From 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 Unit 4, Lesson 9.)