Week 14 Quiz - Curve Sketching & Indeterminate Forms

• (1,-6)

• (0,-8)

• (-2,-12)

• (0,0)

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

• There is a local max at x=3

• There is a local min at x = 3

• There is an inflection point at x = 3

• There is an x-intercept at x = 3

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

• increasing

• decreasing

• concave up

• concave down

If a function's FIRST 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 indeterminate forms is required to use L'Hospital's Rule?