Difference Quotient Worksheet
Calculate the difference quotient for various functions including linear, quadratic, and rational functions.
Includes
3 Short AnswerMultiple ChoiceFill in the Blanks
Standards
CCSS.MATH.CONTENT.HSF.IF.A.1CCSS.MATH.CONTENT.HSF.IF.A.2
Topics
CalculusDifference QuotientFunctionsAlgebra
7 sections · Free to use · Printable
Difference Quotient Practice
Name:
Date:
Score:
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?
a
3x² + 3xh + h²
b
3x² + 3xh + h
c
3x² + h²
d
3x²
5. The difference quotient is defined as .
6. When finding the difference quotient, the 'h' in the denominator approaches .