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Algebra 1

4.9.1 Analyzing and Comparing the Properties of Graphs

Algebra 14.9.1 Analyzing and Comparing the Properties of Graphs

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Warm Up

Examine the following 4 graphs and think about why 1 of the graphs does not belong in the same group as the other 3.

A line graph with time on the x-axis and temperature on the y-axis. A red horizontal line shows temperature remains constant over time.

Graph A

A graph with temperature on the y-axis and time on the x-axis, showing a red curve that rises, peaks in the middle, then falls, illustrating temperature change over time.

Graph B

A graph with temperature on the y-axis and time on the x-axis shows a red curve forming a U-shape, indicating temperature decreases then increases over time.

Graph C

A line graph showing temperature on the y-axis and time on the x-axis, with a red wave-like curve indicating temperature fluctuating up and down over time.

Graph D

1.

Examine the following 4 graphs and think about why 1 of the graphs does not belong in the same group as the other 3. Which graph do you think does not belong in a group with the other 3 graphs?

2.

Explain why you think that graph does not belong.

Why Should I Care?

A person charges an orange electric car at a charging station with a solar panel, wind turbines, and hills in the background, representing clean energy and sustainability.

Supratim Das is a PhD candidate at MIT who is interested in how batteries work and how to make them last longer. He believes that if we produce longer lasting batteries for our mobile devices and cars, we can reduce our overall energy consumption.

One of the most important mathemtical tools he has used is functions. Functions help him calculate the energy inputs and outputs and the changes that make a battery lose power.

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