Review for Test 2

Answer Key
Testname: REVIEW 2
1) absolute maximum is 3 at x = 3; absolute minimum is - 7 at x = -2
2) absolute maximum is 0 at x = 4; absolute minimum is 0 at 4 and 0 at x = 4
3) absolute maximum is - 3 4 at x = 2; absolute minimum is -12 at x = 1 2
4) absolute maximum is 4 at x = 64; absolute minimum is 0 at x =0
5) absolute maximum is 7 at x = 0; absolute minimum is -65 at x = 3
6) absolute maximum is 9 at x = 27; absolute minimum is 0 at x = 01
7) x = -2
8) The minimum is -4 at x = -1.
9)
Critical Pt. derivative Extremum Value
x = 1.73 0 local max 10.39
x = -1.73 0 local min -10.39
10) - 1 2
11) s = - 19
2 t 2 + 1t + 8
12) (-∞, ∞)
13) local maximum at x = 3; local minimum at x = 1
14) local minimum: (-3, -1)
local maximum: (3, 1)
inflection points: (0, 0), (-3 3, - 3 2
3),
(3 3, 3 2
3)
6
y
4
2
-4 -2 2 4
-2
x
-4
-6