1.2-1.3 Review (Increasing/Decreasing Functions, Concavity)

f is increasing on the interval 2 < x < 9 because for all a and b in the interval, if
a < b,
then...

• f(9) > f(2)

• f(a) < f(b)

• f(a) > f(b)

• f(2) < f(9)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• TRUE

• FALSE

Tags

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

Categorize the following function on (A,B)

• Constant with an increasing rate of change

• Constant with a decreasing rate of change

• Constant with a constant rate of change

• Increasing with a constant rate of change

Tags

CCSS.HSF.IF.B.4

On which interval is the graph concave down?

• b < x < c

• x < c

• c < x < d

• x < a

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

On which interval is the graph concave up?

• x < a or x > c

• a < x < c

• All Real Numbers

• The graph is concave down

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How many zeros does the function have?

• 3

• 4

• Infinitely Many

• 0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.B.4