Quiz 3.4

If (a,b) is a local maximum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined

The slope of a function is described by its _______________.

• first derivative
• second derivative
• third derivative
• expression

For a function g(x), g''(-8)=3 indicates that g(x) is ____________ at x=3.

• increasing
• decreasing
• concave up
• concave down

If a function's SECOND derivative is negative at a certain point, what does that tell you?

• The function is increasing at that point
• The function is decreasing at that point
• The concavity of the function is up at that point
• The concavity of the function is down at that point

Which of the following statements must be true?

I. f has a relative Max at x=0.

II. The graph of f has a point of inflection at x=0.

III. The graph of f is increasing for -3 < x < 2.

• I only

• II only

• III only

• I and II only

• II and III only

The function f has a local Min at x = ?

• -3

• -1

• 1

• 3

• 4

On what interval(s) is the graph of f concave down?