iNCREASING AND DECREASING fUNCTIONS

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Tags

CCSS.HSF-IF.C.7A

Over what interval is this function constant?

• −5 < x < ∞
• −3 < x < 4
• 4 < x < ∞
• −5

Tags

CCSS.HSF-IF.C.7B

When is the velocity decreasing?

• 0 < t < 60
• 40 < t < 60
• 15 < t < 40
• −40 < t < 0

Tags

CCSS.HSF.IF.B.4

Which statement is true about this function?

• The function is never constant
• The function is always increasing
• The function is never decreasing
• The function increases on the interval 11:00 < x < 15:00

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

• an inflection point
• a critical point
• a relative maximum
• a relative minimum

Find the critical points of f(x) = 2x⁴- 4x² + 1

• x= 0
• x = -1, 1
• x = -1, 0, 1
• no critical points

Tags

CCSS.HSA.APR.B.3

What are the intervals of the graph increasing for f(x) = 2x⁴- 4x² + 1

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1, ∞)

List all of the critical values (x-locations of the critical points) of the function whose derivative is graphed.

• {-3, -1, 1}
• {-3, -1}
• {-4, -2, 0}
• Cannot be determined

List all of the x-locations of the points of inflection of the function whose derivative is graphed.

• {-4, -2, 0}
• {-2, 0}
• {-2, 0, 1}
• Cannot be determined