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Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x) = 4x+3h+8 h f[x+h)-f(x) = 8x +4h-3 f(x+h)-f(x) = 8x +4h f(x+h)-f(x) = 4x+3h

Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x) = 4x+3h+8 h f[x+h)-f(x) = 8x +4h-3 f(x+h)-f(x) = 8x +4h f(x+h)-f(x) = 4x+3h

Calculus: Early Transcendentals
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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**Question:** Which represents the correct difference quotient for the function \( f(x) = 4x^2 - 3x + 2 \)? **Options:** A. \(\frac{f(x+h) - f(x)}{h} = 4x + 3h + 8\) B. \(\frac{f(x+h) - f(x)}{h} = 8x + 4h - 3\) C. \(\frac{f(x+h) - f(x)}{h} = 8x + 4h\) D. \(\frac{f(x+h) - f(x)}{h} = 4x + 3h\) Each option provides a different expression for the difference quotient of the given function \( f(x) = 4x^2 - 3x + 2 \). The goal is to determine which expression correctly represents the difference quotient.
Transcribed Image Text:**Question:** Which represents the correct difference quotient for the function \( f(x) = 4x^2 - 3x + 2 \)? **Options:** A. \(\frac{f(x+h) - f(x)}{h} = 4x + 3h + 8\) B. \(\frac{f(x+h) - f(x)}{h} = 8x + 4h - 3\) C. \(\frac{f(x+h) - f(x)}{h} = 8x + 4h\) D. \(\frac{f(x+h) - f(x)}{h} = 4x + 3h\) Each option provides a different expression for the difference quotient of the given function \( f(x) = 4x^2 - 3x + 2 \). The goal is to determine which expression correctly represents the difference quotient.
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