Chapter 4 Review

If a function has a second derivative that is positive, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

If a function has a second derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

Does
y = -4x²
have a maximum or minimum value?

• maximum
• minimum
• both
• neither

• max is 4 at x = 0
• max is 4 at x = 3
• max is 3 at x = 5
• No maximum

Tags

CCSS.HSA.REI.D.10

Where is this decreasing?

• (-∞, -2.55) U (0, 2.55)
• (+∞, -6.25) U (36, -6.25)
• (-∞, ∞)
• (-∞, 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

How many extrema are in the picture?

• 2
• 3
• 4
• 5

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

If f"(x) >0, what is true about f(x)?

• it is concave up there
• it has an inflection point
• It's zero
• it is concave down there

If f '(x) >0, what is true about f(x)?

• it is concave up there
• it has an inflection point
• It's increasing
• it is concave down there

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If f '(x) <0, what is true about f(x)?

• it is concave up there
• it's decreasing
• It's increasing
• it is concave down there

When f'(x) changes from negative to positive, there is(are) ...

• a maximum.
• a minimum.
• no extrema.