Difference Quotient Worksheet
Calculate the difference quotient for various functions including linear, quadratic, and rational functions.
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Difference Quotient Practice
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Carefully read each question and calculate the difference quotient. Show all your work.
1. Find the difference quotient for the function f(x) = 3x + 2.
2. Calculate the difference quotient for the function f(x) = x² - 5x + 1.
3. Determine the difference quotient for the function f(x) = 1/x.
4. Which of the following represents the difference quotient for f(x) = x³?
3x² + 3xh + h²
3x² + 3xh + h
3x² + h²
3x²
5. The difference quotient is defined as .
6. When finding the difference quotient, the 'h' in the denominator approaches .
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