Unit 4 Test Review

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

Tags

CCSS.HSA.REI.D.10

The slope of a function is described by its ____________.

• first derivative
• second derivative
• third derivative
• expression

Tags

CCSS.HSS.ID.C.7

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

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

Tags

CCSS.HSA.APR.B.3

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

• increasing
• decreasing
• concave up
• concave down

Where is the relative maximum of  $f\left(x\right)=x^3-3x^2-1$  on the interval [-3, 2]?

•  $x=0$  

•  $x=-1$  

•  $x=2$  

•  $x=5$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

On what interval(s) is the function  $f\left(x\right)=x^3+6x^2$ concave down? 

•  $\left(-\infty,-4\right)$ 

•  $\left(-\infty,-2\right)$  

•  $\left(-2,\infty\right)$ 

•  $\left(0,\infty\right)$ 

Where is the point of inflection for the function  $f\left(x\right)=x^3+6x^2$  ?

•  $x=0$  

•  $x=-4$  

•  $x=-2$  

•  $x=2$  

Use the sign chart for f'(x).  There is(are) ...

• a local maximum at x = -2.
• a local minimum at
  x = -2 and a local maximum at x = 4.
• a local maximum at
  x = -2 and a local minimum at x = 4.
• no extrema.

Tags

CCSS.HSA.APR.B.3