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  5. Calc Review For Quiz 5. 2nd Sem. Absolute Extrema& Rolle's Theo

Calc Review for Quiz 5. 2nd Sem. Absolute Extrema& Rolle's Theo

Authored by Adeyemi Aderinto

Mathematics

9th - 12th Grade

Used 5+ times

Calc Review for Quiz 5. 2nd Sem. Absolute Extrema& Rolle's Theo
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15 questions

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1.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Media Image

Use the diagram to classify relative and absolute extrema.

Select ALL that apply.

(0,0) is an absolute minimum

(1,-14) is an absolute minimum

(4, 40) is an absolute maximum

(6, 10) is an relative minimum

(7, 65) is an absolute maximum

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Find all the critical numbers of

f(x) = 3x4 – 8x3 – 90x2 + 700.

Select ALL that apply

x= -3

x= 5

x= 0

x = 7

x = 1

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Absolute minimum occurs when x = 9

Absolute minimum occurs when x = 2

Absolute minimum occurs when x = 5

Absolute maximum occurs when x = 5

Absolute maximum occurs when x = 9

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Absolute minimum occurs when x = -7

Absolute maximum occurs when x = -2

Absolute minimum occurs when x = -2

Absolute maximum occurs when x = 6

Absolute minimum occurs when x = 4

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Absolute maximum occurs when x = 4

Absolute maximum occurs when x = -2

Absolute minimum occurs when x = -2

Absolute minimum occurs when x = 4

Absolute maximum occurs when x = 5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the two x - intercepts of  f(x) = x2 + 4x - 77,  and then find x that verifies  Rolle’s Theorem within the intercept.

x is -2 located between the intercepts (-7, 11)

x is -2 located between the intercepts (-11, 7)

x is -4 located between the intercepts (-11, 7)

x is 2 located between the intercepts (-7, 11)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Yes and c=2

Yes and c=3/8 or 0.375

Yes and c=-12

No

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