Unit 4 Practice Test

How ready do you feel for the Unit 4 test on Monday?

• WE HAVE A TEST ON MONDAY?!

• I am doing good - need to review but feel confident

• I REALLY REALLY NEED TO STUDY

• I'm not worried - I know this stuff well.

Tags

CCSS.RI. 9-10.10

CCSS.RI.11-12.10

CCSS.RI.8.10

CCSS.RL.11-12.10

CCSS.RL.9-10.10

When f'(x) changes from negative to positive, there is(are) ...

• a maximum.
• a minimum.
• no extrema.

When f'(x) changes from positive to negative, there is(are) ...

• a maximum.
• a minimum.
• no extrema.

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

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

The concavity of a function is described by its _______________.

• first derivative
• second derivative
• third derivative
• expression

If f'(x) = 0 what does that imply about the x value?

• It is a critical point, it is a possible max, min, or point of inflection.

• That the limit does not exist.

For a function f(x), f''(4)=0 indicates that x=4 is _____________.

• an inflection point
• a critical point
• a relative maximum
• a relative minimum

How many extrema are in the picture?

• 2
• 3
• 4
• 5

What are all intervals on which the graph of f is concave down?

• -1 < x < 1

• 0 < x < 2

• 1 < x < 3 ONLY

• -2 < x < -1 ONLY

• -2 < x < -1 AND 1 < x < 3

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.