Analysis of Functions

What is the domain of this function?

• [-3, 3]
• [-5, 5]
• [-6, 8]
  
• [-6, 6]
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Over what interval is this function decreasing?

• −∞ ≤ x ≤ 2
• 2 ≤ x ≤ ∞
• all real numbers
• −∞ ≤ x ≤ -2

Tags

CCSS.HSA.REI.D.10

What interval(s) is the function positive?

• (−∞, -2)   
• (-4, 0)

• (−∞, -4) U (0, ∞)
• (-2, ∞)

Tags

CCSS.HSA.APR.B.3

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Identify the increasing interval:

• (0, 4)
• (1, 0) U (1, 4)
• (-1, 1)
• (-∞, -1) U (1, ∞)

Tags

CCSS.HSA.REI.D.10

What is the range of this function?

• All real numbers.
• [2, infinity)
• [-2, infinity)
• [0, infinity)

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

What is the domain and range?

• domain: All Real Numbers and Range: y < 0

• domain: All Real Numbers and Range: y > 0

• domain: x > 0 and Range: All Real Numbers

• domain: All Real Numbers and All Real Numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; there is a line connecting the dots.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find h(4) for         h(x) = x³ + 2x.

• 20
• 14
• 64
• 72

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2