Increasing Decreasing Function

True or false: A function can either be only decreasing or only increasing on a given interval

• TRUE

• FALSE

A function that is concave up can be

• Increasing at a decreasing rate

• Increasing at an increasing rate

• Decreasing at a
  decreasing rate

• Decreasing at an
  increasing rate

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.IF.B.4

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 (B,C).

• Increasing with an increasing rate of change

• Increasing with a constant rate of change

• Decreasing with an increasing rate of change

• Decreasing 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)

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.HSF-LE.A.1B

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)

Tags

CCSS.HSF-LE.A.1B