4.10 Station 1 - First Derivative Things

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.8.EE.B.5

if the slope of f(x) is positive then f'(x) is ...

• increasing

• decreasing

• concave up

• concave down

if the slope of f(x) is negative then f'(x) is ...

• increasing

• decreasing

• concave up

• concave down

if the slope of f(x) is 0 then f'(x) is a ...

• max

• min

• critical point

• point of inflection

What are the critical points for the function f(x)?

• x = -5, 0, 2

• x = -5 and 2

• x = -3 and 1

• x = -5, -3, 0, 1, and 2

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

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

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

• (-∞, -3) ∪ (1, ∞)

• (-3, 1)

• (-5, 0) ∪ (2, ∞)

• (-5, ∞)

Where does f(x) have a relative min?

• x = -5

• x = 0

• x = -5 and 2

• x = 1

Where does f(x) have a relative max?

• x = -5

• x = 0

• x = -5 and 2

• x = 1

At what x-value(s) does f(x) have a minimum?

• x = -3
• x = 1
• x = 5
• x = -3 and x = 5