Chapter 2 - MDC Faculty Home Pages
Chapter 2 - MDC Faculty Home Pages
Chapter 2 - MDC Faculty Home Pages
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Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval.<br />
When no interval is specified, use the real line ( -∞, ∞).<br />
68) f(x) = x2 + 16<br />
; (0, ∞)<br />
68)<br />
x<br />
200<br />
y<br />
14 x<br />
A) No absolute maximum; absolute minimum: 2<br />
B) No absolute maximum; absolute minimum: 12<br />
C) Absolute maximum: 196; absolute minimum: 2<br />
D) No absolute extrema<br />
69) f(x) = x4 - 4x2<br />
12<br />
8<br />
4<br />
y<br />
-4 4 x<br />
-4<br />
-8<br />
-12<br />
-16<br />
-20<br />
A) Absolute maximum: 0; absolute minimum: -4<br />
B) Absolute maximum: 0; no absolute minimum<br />
C) No absolute maximum; absolute minimum: -4<br />
D) No absolute extrema<br />
70) f(x) = - 1<br />
3 x3 + 16x - 1; (-∞, 0)<br />
A) Absolute maximum: 4; absolute minimum: -4<br />
B) No absolute maximum; absolute minimum: -43.7<br />
C) Absolute minimum: -41.7; absolute maximum: 43.7<br />
D) No absolute extrema<br />
19<br />
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69)<br />
70)
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