Chapter 3 Review

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Over what intervals is f(x) decreasing?

• (-∞, -1) ∪ (1, ∞)
• (-∞, -√3) ∪ (0, √3)
• (-1, 1)
• (-√3, 0) ∪ (√3, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

If the 1st derivative is positive on a certain interval, then that interval is decreasing.

• True

• False

For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.

• increasing
• decreasing
• concave up
• concave down

Over what interval(s) is f(x) decreasing?

• (-3, 1)
• (-∞, -5) ∪ (0, 2)
• (-∞, -3) ∪ (1, ∞)
• (-5, 0) ∪ (2, ∞)

The concavity of a function is described by its _______________.

• first derivative
• second derivative
• third derivative
• expression

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

• increasing
• decreasing
• concave up
• concave down

Identify the interval(s) where f is concave up from the graph of f'.

• (-1,1) U(3, 4)

• (-3,0) only

• (-3,0) U (2, 4)

• (-1,3)

For a function f(x), if f'(5) = -11 indicates f(x) is ___________ at x=5.

• increasing

• decreasing

• concave up

• concave down