Characteristics of Functions

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x-intercepts?

• (0, 0) and (2, 0)

• (-4, 0) and (0, 0)

• (2, 0) and (3, 0)

• (0, 0) and (4, 0)

Determine the interval in which this function is INCREASING.

• (-4, ∞)
• (-3, ∞)
• (∞, -3)
• (-∞, -4)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the interval in which this function is DECREASING.

• (-3, ∞)
• (-3, ∞)
• (-∞, -4)
• (-∞, -3)

Tags

CCSS.HSA.APR.B.3

Identify the increasing interval:

• (0, 4)

• (1, 0) U (1, 4)

• (-1, 1)

• (-∞, -1) U (1, ∞)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the decreasing interval:

• (0, 4)

• (1, 0) U (1, 4)

• (-1, 1)

• (-∞, -1) U (1, ∞)

Tags

CCSS.HSA.REI.D.10

Find the x values in which f(x) > 0 [Find where it is positive.] 

• (-1, 1)

• $\left(-\infty,-1\right)\cup\left(-1,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(-\infty,\ \infty\right)$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

State the relative maximum value.

• (-1, 0)

• (9,0)

• (1, 4)

• (4, 1)

Tags

CCSS.HSA.REI.D.10

What is f(0)?

•  $-1$  
  

•  $2$ 

•  $4$ 

•  $-5$  
  

Tags

CCSS.HSA.APR.B.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

When is the function decreasing?

• (30, 55)
• (40, 60)
• (15, 40)
• (60, -40)

Tags

CCSS.HSS.ID.C.7