2. a. C. Determine the critical number(s) for the following functions. f(x) = 17-6x + 12x² f(x)=x²-3x+2 d(t) = ²+1 b. f(x)=x√x - 1 C.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please answer b) c) and d)
2.
a.
C.
Determine the critical number(s) for the following functions.
f(x) 176x + 12x²
f(x)=x²-3x+2
b.
f(x)=x√x - 1
C.
d(t) = ²+1
Transcribed Image Text:2. a. C. Determine the critical number(s) for the following functions. f(x) 176x + 12x² f(x)=x²-3x+2 b. f(x)=x√x - 1 C. d(t) = ²+1
Expert Solution
Step 1: The given function is:

table row cell stretchy left parenthesis a stretchy right parenthesis italic space f stretchy left parenthesis x stretchy right parenthesis end cell italic equals cell x to the power of italic 3 italic minus italic 3 x italic plus italic 2 end cell row cell stretchy left parenthesis c stretchy right parenthesis italic space f stretchy left parenthesis x stretchy right parenthesis end cell italic equals cell x square root of x italic minus italic 1 end root end cell row cell stretchy left parenthesis d stretchy right parenthesis italic space d stretchy left parenthesis t stretchy right parenthesis end cell italic equals cell fraction numerator t over denominator t to the power of italic 2 italic plus italic 1 end fraction end cell end table

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