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IM Alg1.4.9 Lesson: Comparing Graphs

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

This graph shows the populations of Baltimore and Cleveland in the 20th century.

  is the population of Baltimore in year .  is the population of Cleveland in year .  Estimate  and explain what it means in this situation.

Here are pairs of statements about the two populations. In this pair, which statement is true? Be prepared to explain how you know.

Select all that apply
  • A
  • B
Check my answer (3)

In this pair, which statement is true? Be prepared to explain how you know.

Select all that apply
  • A
  • B
Check my answer (3)

Were the two cities’ populations ever the same? If so, when?

H(t) is the percentage of homes in the United States that have a landline phone in year t.

 is the percentage of homes with only a cell phone. Here are the graphs of  and . Estimate  and . Explain what each value tells us about the phones.

What is the approximate solution to ? Explain what the solution means in this situation.

Determine if each equation is true. Be prepared to explain how you know.

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.

Explain why the statement  is true in this situation.

What value does  appear to take between 2004 and 2017? How much does this value vary in that interval?

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, ,  or ? Explain what the answer tells us about the shows.

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.

Decide which function value is greater for each given input. Be prepared to explain your reasoning.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Is there a value of  at which the equation   is true? Explain your reasoning.

Identify at least two values of  at which the inequality < is true.

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