Writing and interpreting functions

What does a decreasing rate of change indicate about a function?

• The function is increasing
• The function is concave up
• The function is decreasing
• The function is concave down

What is a plausible description of this graph?

• The object began moving away quickly at a constant speed. It stopped. It then turned to return at a constant speed.

• The object changed diections three times.

• The object began walking away slowly then began running away. Both were at constant speeds. It then turned and walked back to where it started.

• The object began moving away at a constant speed. It continued moving away, but slowed its speed. It then turned around and returned home at a speed that was probably in between the first two speeds.

The graph shows the weight of a jar based on the number of marbles.  Which of these best represents the rate of change of the weight with respect to the number of marbles?

• 15/8 grams per marble
• 25/24 grams per marble
• 7/5 grams per marble
• 7/8 grams per marble

Elena filled up the tub and gave her dog a bath. Then she let the water out of the tub.

How much water was in the tub when she bathed her dog?

• 24 gallons

• 0 gallons

• 18 gallons

• 30 gallons

Which situation could best be represented by the graph?

• Felicia ran to the bus stop and waited for the bus.

• George rode his bike to the library, got a book, and then rode back home.

• Laura climbed up the rock wall and climbed right back down again.

• Carl waited at school for his ride home.

On which interval is the graph constant?

• [-5,-3]
• [-3,-1]
• [1,4]
• (-∞,-5]

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 to a stop.

• The object is staying still.

What is the y-intercept of the following table?

• 4

• 8

• -7

• 11

The graph shows Dylan's motorcycle trip from his home to his friend's home in another city. During which time interval did Dylan stop for lunch (hint, where is the graph constant?)

• Between hour 0 and hour 1

• Between hour 1 and hour 2

• Between hour 2 and hour 3

• Between hour 3 and hour 5

The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

Select the true statement below.

• The total capacity of the water tank is 2000 gallons.

• The total capacity of the water tank is 400 gallons.

• The rate of change for the graph is 300 gallons per hour.

• The rate of change for the graph is $-\frac{2}{5}$ .