Interpreting & Sketching Functions

Finish this sentence.

• constant

• increasing

• intervals

• output

Finish this sentence.

• constant

• increasing

• decreasing

• input

Finish this sentence.

• constant

• intervals

• input

• output

The graph shows how a motorboat travels around a lake. What does the graph most likely show?

• The boat travels at a constant speed for 10 minutes, then stops.

• The boat travels at a constant speed for 10 minutes, then slows down.

• The boat steadily its speed for 10 minutes, then stops.

• The boat increases speed for 10 minutes, then travels at a constant speed.

The value of a stock decreases sharply for 2 weeks, increases sharply for 2 weeks, and then decreases sharply again for 2 weeks. Choose the graph that matches the relationship between the value of the stock and time.

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Mr. Harris attaches a small tank of propane to his portable grill. Then he turns on the grill and cooks food for a barbecue. Choose the graph that matches the relationship between the amount of propane in the tank and time.

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Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes. Finally, she hikes back at a faster pace, reaching her campsite in 20 minutes. Choose the graph that could represent Liana’s distance from the campsite and time.

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A basketball player throws a ball upward from her hands, which are 5 feet above the ground. The basketball reaches a maximum height and then descends a few feet and becomes stuck in the net. Choose the graph that could represent the relationship between the height of the ball and time.

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Over what interval is this function constant?

• -5 < x < ∞
• -3 < x < 4
• 4 < x < ∞
• -5

Over which interval of time is this person returning home?

• 8:00 < x < 9:00
• 9:00 < x < 9:30
• 9:30 < x < 11:00
• 12:00 < x < 13:00