Increase Decrease Function Graph

Which graph shows a function that decreases, increases, and then remains constant?

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Which scenario best represents the graph?

• A person riding an elevator up, and then down.

• A person riding an escalator up, and then riding another escalator down.

• A ball being thrown in the air, hitting the ground, and then bouncing multiple times.

Adrian rode his bike at a constant speed until coming to a stop. He then increased his speed at a constant rate until slowing down and stopping. Which graph could model Adrian’s bike ride?

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What is happening in this graph from point B to C?

• The object is going down a hill.

• The object is returning to its starting location.

• The object is slowing down.

• The object is staying still.

Jenny removes the plug from a bathtub holding about 200 liters of water. The faucet is off, and the water begins draining at a constant rate. After 2.5 minutes, she puts the plug back for about 1 minute. Then, Jenny removes the plug again. The water starts draining again and it takes about 1.5 minutes to empty the tub. Which graph represents the water in the tub over time as Jenny drains it?

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Which graph represents the movement of a train whose distance from a starting point changes at a constant rate?

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Describe the situation.

• Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.

• Sales stay constant, then decrease at a constant rate, and increase slowly.  

At 60 seconds, how far had this object traveled? 

• 0 m

• 10 m

• 20 m

• 40 m

Describe the situation. 

• Grams Decrease at a decreasing rate.

• Grams decrease at a constant rate.

For 1-6 Match the verbal description with the part of the graph it describes.
1. Stays the same.

• F

• A

• D

• C