Writing and interpreting functions

If f''(x) < 0 then f(x) must be...

• Increasing

• Concave Up

• Decreasing

• Concave Down

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant
• increasing, decreasing, constant
• increasing, constant, increasing, constant
• increasing, constant, decreasing, constant

What is happening in this graph from point B to C? HINT: Look at the axis labels.

• The object is moving faster.

• The object is not moving.

• The object is slowing down.

• The object is moving at a constant speed.

The volume of gas in a gas tank during a continual trip is

• always increasing

• always decreasing

• increasing then decreasing

• constant

What is the y-intercept?

• -5

• 24

• 0

• 3

Is the red highlighted area

• increasing and positive

• decreasing and positive

• increasing and negative

• decreasing and negative

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

How long did it take for the tub to drain completely?

• 6 minutes

• 12 minutes

• 18 minutes

• 30 minutes

What does the slope 3/2 of this graph mean?

• 3 chocolate squares PER 2 graham crackers

• 2 chocolate squares PER 3 graham crackers

• 0 chocolate squares PER 2 graham crackers

• S'mores are overrated. 

The graph shows the weight of a dog after a certain number of weeks. What does the rate of change mean for this situation?

• 3 pounds per week

• 3 weeks per pound

• 3 pounds

• 3 weeks

What interval is the function decreasing?

• [0, 60]

• [40 , 60]

• [15 , 40]

• [-40,0]