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Question : Find the location of the indicated absolute extremum for the function. 1) Minimum : 2151722

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the location of the indicated absolute extremum for the function.

1) Minimum

A) x = -3

B) x = 3

C) x = 5

D) x = -5

2) Maximum

A) No maximum

B) x = 1

C) x = 4

D) x = -4

3) Maximum

A) x = 5

B) x = 3

C) x = 0

D) No maximum

4) Minimum

A) x = -2

B) x = 1

C) x = 2

D) x = -1

5) Minimum

A) x = 0

B) x = -4

C) x = -3

D) x = 2

6) Maximum

A) No maximum

B) x = 4

C) x = 1

D) x = -1

7) Minimum

A) x = 2

B) x = -1

C) x = 1

D) No minimum

8) Maximum

A) x = 0

B) x = (11/4)

C) x = -4

D) No maximum

9) Maximum

A) x = 0

B) x = -1

C) x = 2

D) No maximum

Find the indicated absolute extremum as well as all values of x where it occurs on the specified domain.

10) f(x) = x^{2} - 4; [-1, 2]

Maximum

A) -3 at x = 1

B) 0 at x = -2

C) -3 at x = -1

D) 0 at x = 2

11) f(x) = x^{3} - 3x^{2}; [0, 4]

Minimum

A) 16 at x = 4

B) -4 at x = 2

C) No absolute minimum

D) 0 at x = 0

12) f(x) = (1/3)x^{3} - 2x^{2} + 3x - 4; [-2, 5]

Minimum

A) - (62/3) at x = -2

B) - (8/3) at x = 1

C) - (10/3) at x = 2

D) -4 at x = 0

13) f(x) = (1/x + 2); [-4, 1]

Minimum

A) - (1/2) at x = -4

B) No absolute minimum

C) (1/2) at x = 0

D) (1/3) at x = 1

14) f(x) = (x + 3/x - 3); [-4, 4]

Maximum

A) -1 at x = 0

B) No absolute maximum

C) 7 at x = 4

D) (1/7) at x = -4

15) f(x) = (x^{2} + 4)^{2/3}; [-2, 2]

Minimum

A) 2.924 at x = 1

B) No absolute minimum

C) 2.5198 at x = 0

D) 4 at x = 2

16) f(x) = (x + 1)^{2}(x - 2); [-2, 1]

Maximum

A) 0 at x = -1

B) -2 at x = 0

C) -4 at x = -2

D) No absolute maximum

17) f(x) = 3x^{4} + 16x^{3} + 24x^{2} + 32; [-3, 1]

Maximum

A) 75 at x = 1

B) 48 at x = -2

C) 59 at x = -3

D) 32 at x = 0

18) f(x) = x^{4/3} - x^{2/3}; [0, 2]

Minimum

A) 0 at x = 1

B) 0.9324 at x = 2

C) - (1/4) at x = (√(2)/4)

D) No absolute minimum

19) f(x) = x^{2}e^{-0.25x}; [3,10]

Maximum

A) 8.2085 at x = 10

B) 0 at x = 0

C) 4.2513 at x = 3

D) 8.6615 at x = 8