Find the absolute extreme values of the function on the interval. 1) g(x) = 10-6x², -2≤x≤4 A) absolute maximum is 60 at x = 0; absolute minimum is -14 at x = -2 B) absolute maximum is 20 at x = 0; absolute minimum is -14 at x = 4 C) absolute maximum is 10 at x = 0; absolute minimum is -86 at x = 4 D) absolute maximum is 6 at x = 0; absolute minimum is -106 at x = 4 -

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Find the absolute extreme values of the function on the interval.
1) g(x) = 10-6x², -2 ≤x≤4
A) absolute maximum is 60 at x = 0; absolute minimum is -14 at x = -2
B) absolute maximum is 20 at x = 0; absolute minimum is -14 at x = 4
C) absolute maximum is 10 at x = 0; absolute minimum is-86 at x = 4
D) absolute maximum is 6 at x = 0; absolute minimum is -106 at x = 4
Find critical points and determine the local extreme values. --
2) y=x(1-x²)
A)
Critical Pt. derivative Extremum Value
x=0.58 10
local max -0.77
x=-0.58 0
local min 0.38
Critical Pt. derivative [Extremum Value
x=-0.58 0
local max -0.77
x=0.58 10
local min 0.38
B)
D)
Critical Pt. derivative
x=-0.58 0
x=0.58
Critical Pt. derivative
x=0.58
0
x=-0.58 0
Extremum Value
local max 0.38
local min -0.77
Extremum Value
local max
0.38
local min -0.38
1)
2)
Transcribed Image Text:Find the absolute extreme values of the function on the interval. 1) g(x) = 10-6x², -2 ≤x≤4 A) absolute maximum is 60 at x = 0; absolute minimum is -14 at x = -2 B) absolute maximum is 20 at x = 0; absolute minimum is -14 at x = 4 C) absolute maximum is 10 at x = 0; absolute minimum is-86 at x = 4 D) absolute maximum is 6 at x = 0; absolute minimum is -106 at x = 4 Find critical points and determine the local extreme values. -- 2) y=x(1-x²) A) Critical Pt. derivative Extremum Value x=0.58 10 local max -0.77 x=-0.58 0 local min 0.38 Critical Pt. derivative [Extremum Value x=-0.58 0 local max -0.77 x=0.58 10 local min 0.38 B) D) Critical Pt. derivative x=-0.58 0 x=0.58 Critical Pt. derivative x=0.58 0 x=-0.58 0 Extremum Value local max 0.38 local min -0.77 Extremum Value local max 0.38 local min -0.38 1) 2)
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