AP Calc - IVT, EVT, MVT

TRUE OR FALSE?  If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.

• TRUE
• FALSE
• CANNOT BE DETERMINED

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Find the vertical asymptotes and holes of
y = (x+3) / (x-1)(x+3)

• Holes: None;
  VA: x = 1, -3
• Holes: x = -3;
  VA: x = 1
• Holes: x = -3, 1
  VA: None
• Holes: x = 1
  VA: x = -3

Tags

CCSS.HSA.APR.B.3

Which of the following best describes the continuity at x = 5?

• Maximum

• Minimum

• Vertical Asymptote

• Hole

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use the sign chart for f'(x) and the table of f(x).  There is ...

• a local maximum at (-10,5).
• an absolute minimum at (-2,0).
• a local minimum at (20,7).
• all of the above

Does this function have a minimum, maximum, both or neither?

• Minimum

• Maximum

• Both

• Neither

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the minimum or maximum of the following function.

• Min: -3

• Max: -3

• Min: 3

• Max: 3

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10