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If f(x) = 2x² + 4x - 3, then f(x+h)-f(x) h 012x+ +2h)²+(4x+4h)−3−(2x²+4x-3) h 2(x+h)² +4x−3−2x² - 4x+3 h 2(x² + 2xh+h²)+4(x+h)−3−(2x²+4x−3) h O2(x +h) +4(x+h) -3–2x2 +AX-3 h is equal to which of the following?

If f(x) = 2x² + 4x - 3, then f(x+h)-f(x) h 012x+ +2h)²+(4x+4h)−3−(2x²+4x-3) h 2(x+h)² +4x−3−2x² - 4x+3 h 2(x² + 2xh+h²)+4(x+h)−3−(2x²+4x−3) h O2(x +h) +4(x+h) -3–2x2 +AX-3 h is equal to which of the following?

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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On an educational website, the content may be transcribed as follows: --- ### Calculus Problem: Difference Quotient Calculation Given the function \( f(x) = 2x^2 + 4x - 3 \), compute the difference quotient \(\frac{f(x + h) - f(x)}{h}\). Which of the following expressions represents the correct form of the difference quotient for the given function? 1. \(\frac{(2x + 2h)^2 + (4x + 4h) - 3 - (2x^2 + 4x - 3)}{h}\) 2. \(\frac{2(x + h)^2 + 4x - 3 - 2x^2 - 4x + 3}{h}\) 3. \(\frac{2(x^2 + 2xh + h^2) + (4x + 4h) - 3 - (2x^2 + 4x - 3)}{h}\) 4. \(\frac{2(x + h)^2 + 4(x + h) - 3 - 2x^2 + 4x - 3}{h}\) ---
Transcribed Image Text:On an educational website, the content may be transcribed as follows: --- ### Calculus Problem: Difference Quotient Calculation Given the function \( f(x) = 2x^2 + 4x - 3 \), compute the difference quotient \(\frac{f(x + h) - f(x)}{h}\). Which of the following expressions represents the correct form of the difference quotient for the given function? 1. \(\frac{(2x + 2h)^2 + (4x + 4h) - 3 - (2x^2 + 4x - 3)}{h}\) 2. \(\frac{2(x + h)^2 + 4x - 3 - 2x^2 - 4x + 3}{h}\) 3. \(\frac{2(x^2 + 2xh + h^2) + (4x + 4h) - 3 - (2x^2 + 4x - 3)}{h}\) 4. \(\frac{2(x + h)^2 + 4(x + h) - 3 - 2x^2 + 4x - 3}{h}\) ---
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