Slope Decreasing Rate with Graph

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph. Section A has a _____ slope and represents washing windows on the _____ floor.

• zero; first

• positive; second

• negative; third

• zero; second

• positive; third

How long did it take this object to travel back to its reference/starting point?

• 20 s

• 30 s

• 60 s

• 100 s

A function that is concave down can be

• Increasing at a decreasing rate

• Increasing at an increasing rate

• Decreasing at a
  decreasing rate

• Decreasing at an
  increasing rate

The following function is

• Increasing at an increasing rate

• Increasing at a decreasing rate

• Decreasing at an
  increasing rate

• Decreasing at a
  decreasing rate

The following function is

• Increasing at an increasing rate

• Increasing at a decreasing rate

• Decreasing at an
  increasing rate

• Decreasing at a
  decreasing rate

Categorize the following function from (C,D)

• Increasing with an increasing rate of change

• Increasing with a constant rate of change

• Increasing with a decreasing rate of change

• Decreasing with a decreasing rate of change

Categorize the following function from (D,E)

• Decreasing with a constant rate of change

• Decreasing with a decreasing rate of change

• Decreasing with an increasing rate of change

• Increasing with a decreasing rate of change

Classify the following function from (E, F)

• Decreasing with a constant rate of change

• Decreasing with a decreasing rate of change

• Decreasing with an increasing rate of change

• Increasing with a decreasing rate of change

Answer explanation

Remember! Where the function is linear, the rate of change is constant (a positive constant slope, negative constant slope, or zero slope)

On which interval is the graph concave down?

• b < x < c

• x < c

• c < x < d

• x < a

The following function is

• Increasing at an increasing rate

• Increasing at a decreasing rate

• Decreasing at an
  increasing rate

• Decreasing at a
  decreasing rate