IM Alg1.4.9 Lesson: Comparing Graphs

This graph shows the populations of Baltimore and Cleveland in the 20th century.
 [math]B\left(t\right)[/math] is the population of Baltimore in year [math]t[/math]. [math]C\left(t\right)[/math] is the population of Cleveland in year [math]t[/math].[br][br][img]data:image/png;base64,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[/img][br][br]Estimate [math]B\left(1930\right)[/math] and explain what it means in this situation.[br]
[size=150]Here are pairs of statements about the two populations. [br][/size][br]In this pair, which statement is true? Be prepared to explain how you know.
In this pair, which statement is true? Be prepared to explain how you know.
Were the two cities’ populations ever the same? If so, when?[br]
H(t) is the percentage of homes in the United States that have a landline phone in year t.
[math]C\left(t\right)[/math] is the percentage of homes with [i]only[/i] a cell phone. Here are the graphs of [math]H[/math] and [math]C[/math].[br][img]data:image/png;base64,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[/img][br]Estimate [math]H\left(2006\right)[/math] and [math]C\left(2006\right)[/math]. Explain what each value tells us about the phones.[br]
What is the approximate solution to [math]C\left(t\right)=20[/math]? Explain what the solution means in this situation.[br]
Determine if each equation is true. Be prepared to explain how you know.[br][math]C\left(2011\right)=H\left(2011\right)[/math]
[math]C\left(2015\right)=H\left(2015\right)[/math]
Between 2004 and 2015, did the percentage of homes with landlines decrease at the same rate at which the percentage of cell-phones-only homes increased? Explain or show your reasoning.[br]
Explain why the statement [math]C\left(t\right)+H\left(t\right)\le100[/math] is true in this situation.[br]
What value does [math]C\left(t\right)+H\left(t\right)[/math] appear to take between 2004 and 2017? How much does this value vary in that interval?[br]
The number of people who watched a TV episode is a function of that show’s episode number. Here are three graphs of three functions—A, B and C—representing three different TV shows.
Match each description with a graph that could represent the situation described. One of the descriptions has no corresponding graph.
Which is greatest, [math]A(7)[/math], [math]B(7),[/math] or [math]C(7)[/math]? Explain what the answer tells us about the shows.[br]
Sketch a graph of the viewership of the fourth TV show that did not have a matching graph.
Here are graphs that represent two functions, f and g.
[img]data:image/png;base64,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[/img][br]Decide which function value is greater for each given input. Be prepared to explain your reasoning.
Is there a value of [math]x[/math] at which the equation  [math]f(x)=g(x)[/math] is true? Explain your reasoning.
Identify at least two values of [math]x[/math] at which the inequality [math]f(x)[/math]<[math]g(x)[/math] is true.[br]

IM Alg1.4.9 Practice: Comparing Graphs

Functions R and D give the height, in feet, of a toy rocket and a drone, t seconds after they are released.
[size=150]Here are the graphs of [math]R[/math] (for the rocket) and [math]D[/math] (for the drone).[/size][br][img]data:image/png;base64,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[/img][br][br][size=150]Write each statement in function notation:[/size][br]At 3 seconds, the toy rocket is higher than the drone.[br]
At the start, the toy rocket is 25 feet above the drone.[br]
[size=150][math]A\left(t\right)[/math] is the average high temperature in Aspen, Colorado, [math]t[/math] months after the start of the year. [br][math]M\left(t\right)[/math] is the average high temperature in Minneapolis, Minnesota, [math]t[/math] months after the start of the year. [br][/size][size=150]Temperature is measured in degrees Fahrenheit.[/size][br][img]data:image/png;base64,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[/img][br]Which function had the higher average rate of change between the beginning of January and middle of March?
What does this mean about the temperature in the two cities?
Here are two graphs representing functions f and g.
[img]data:image/png;base64,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[/img][br][br]Select [b]all [/b]statements that are true about functions [math]f[/math] and [math]g[/math].
The three graphs represent the progress of three runners in a 400-meter race.
[table][tr][td][table][tr][td][size=150]The solid line represents runner A. [br]The dotted line represents runner B. [br]The dashed line represents runner C.[/size][br][br][/td][/tr][/table][br][/td][td][img]data:image/png;base64,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[/img][br][/td][/tr][/table][br]One runner ran at a constant rate throughout the race. Which one?[br]
A second runner stopped running for a while. Which one? During which interval of time did that happen?[br]
Describe the third runner's race. Be as specific as possible.[br]
Who won the race? Explain how you know.[br]
Function A gives the area, in square inches, of a square with side length x inches. Complete the table.
Represent function [math]A[/math] using an equation.[br]
Sketch a graph of function A.
[size=150]Function [math]f[/math] is represented by [math]f\left(x\right)=5\left(x+11\right)[/math].[br][/size][br]Find [math]f\left(-2\right)[/math]
Find the value of [math]x[/math] such that [math]f\left(x\right)=90[/math] is true.[br]

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