IM Alg1.4.10 Lesson: Domain and Range (Part 1)
Earlier, you saw a situation where the total number of times a dog has barked was a function of the time, in seconds, after its owner tied its leash to a post and left.
[size=150]Less than 3 minutes after he left, the owner returned, untied the leash, and walked away with the dog.[/size][br][br]Could [math]15[/math] be an [b]input [/b]of the function? Be prepared to explain your reasoning.[br]
Could [math]84\frac{1}{2}[/math] be an [b]input[/b] of the function? Be prepared to explain your reasoning.[br]
Could [math]300[/math] be an [b]input [/b]of the function? Be prepared to explain your reasoning.[br]
Could [math]15[/math] be an [b]output [/b]of the function? Be prepared to explain your reasoning.[br]
Could [math]84\frac{1}{2}[/math] be an [b]output[/b] of the function? Be prepared to explain your reasoning.[br]
Could [math]300[/math] be an [b]output [/b]of the function? Be prepared to explain your reasoning.[br]
Decide whether each number is a possible input for the functions described here. Sort the cards into two groups—possible inputs and impossible inputs. Record your sorting decisions.
[size=150][size=100]The area of a square, in square centimeters, is a function of its side length, [math]s[/math], in centimeters. The equation [math]A\left(s\right)=s^2[/math] defines this function.[br][/size][/size]
[size=150][size=100]A tennis camp charges $40 per student for a full-day camp. The camp runs only if at least 5 students sign up, and it limits the enrollment to 16 campers a day. The amount of revenue, in dollars, that the tennis camp collects is a function of the number of students that enroll.[br][br]The equation [math]R\left(n\right)=40n[/math] defines this function.[/size][/size]
[size=150][size=100]The relationship between temperature in Celsius and the temperature in Kelvin can be represented by a function [math]k[/math]. The equation [math]k\left(c\right)=c+273.15[/math] defines this function, where [math]c[/math] is the temperature in Celsius and [math]k\left(c\right)[/math] is the temperature in Kelvin.[/size][/size][br]
In an earlier activity, you saw a function representing the area of a square (function A) and another representing the revenue of a tennis camp (function R). Refer to the descriptions of those functions to answer these questions.
[size=150]Here is a graph that represents function [math]A[/math], defined by [math]A\left(s\right)=s^2[/math], where [math]s[/math] is the side length of the square in centimeters.[/size][br][table][tr][td][img]data:image/png;base64,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[/img][/td][td]Name three possible input-output pairs of this function.[/td][/tr][/table][br]
Earlier we describe the set of all possible input values of [math]A[/math] as “any number greater than or equal to 0.” How would you describe the set of all possible output values of [math]A[/math]?[br]
[size=150]Function [math]R[/math] is defined by [math]R\left(n\right)=40n[/math], where [math]n[/math] is the number of campers.[/size][br]Is 20 a possible output value in this situation? Explain your reasoning.[br]
[br]Is 100 a possible output value in this situation? Explain your reasoning.[br]
Here are two graphs that relate number of students and camp revenue in dollars. [br][table][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]Which graph could represent function [math]R[/math]? [br]
Explain why the other one could not represent the function.
Describe the set of all possible output values of [math]R[/math].
If the camp wishes to collect at least $500 from the participants, how many students can they have? Explain how this information is shown on the graph.
Explain how this information is shown on the graph.
[size=150]Consider the function [math]f\left(x\right)=\frac{6}{x-2}[/math]. [/size][br]To find out the sets of possible input and output values of the function, Clare created a table and evaluated [math]f[/math] at some values of [math]x[/math]. Along the way, she ran into some trouble.
Find f(x) for each x-value Clare listed. Describe what Clare’s trouble might be.
Use graphing technology to graph function d.
What do you notice about the graph?[br]
Use a calculator to compute the value you and Clare had trouble computing.
What do you notice about the computation?[br]
How would you describe the domain of function [math]f[/math]?[br]
Why do you think the graph of function [math]f[/math] looks the way it does?
Why are there two parts that split at [math]x=2[/math], with one curving down as it approaches [math]x=2[/math] from the left and the other curving up as it approaches [math]x=2[/math] from the right?
Evaluate function [math]f[/math] at different [math]x[/math]-values that approach 2 but are not exactly 2, such as 1.8, 1.9, 1.95, 1.999, 2.2, 2.1, 2.05, 2.001, and so on. What do you notice about the values of [math]f\left(x\right)[/math] as the [math]x[/math]-values get closer and closer to 2?
IM Alg1.4.10 Practice: Domain and Range (Part 1)
[size=150]The cost for an upcoming field trip is $30 per student. The cost of the field trip [math]C[/math], in dollars, is a function of the number of students [math]x[/math].[/size][br]Select [b]all [/b]the possible outputs for the function defined by [math]C\left(x\right)=30x[/math].
[size=150]A rectangle has an area of 24 cm². Function [math]f[/math] gives the length of the rectangle, in centimeters, when the width is [math]w[/math] cm.[br][/size][br]Determine if [math]3[/math], in centimeters, is a possible input of the function.
Determine if [math]0.5[/math], in centimeters, is a possible input of the function.
Determine if [math]48[/math], in centimeters, is a possible input of the function. [br]
Determine if [math]\text{-}6[/math], in centimeters, is a possible input of the function. [br]
Determine if [math]0[/math], in centimeters, is a possible input of the function.
Select [b]all [/b]the possible input-output pairs for the function [math]y=x^3[/math].
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.
[size=150]Function [math]B[/math] gives the amount of money that the bus operator earns when [math]n[/math] people ride the bus.[/size][br][br]Identify all numbers that make sense as inputs and outputs for this function.[br]
Sketch a graph of B.
[size=150]Two functions are defined by the equations [math]f(x)=5-0.2x[/math] and[math]g(x)=0.2(x+5)[/math]. [/size][br][br]Select [b]all [/b]statements that are true about the functions.
Match each feature of the graph with the corresponding coordinate point. If the feature does not exist, choose “none”.
The graphs show the audience, in millions, of two TV shows as a function of the episode number.
[table][tr][td]Show A[/td][td]Show 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[/img][/td][/tr][/table][br]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.