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- Find and simplify the difference quotient $\dfrac{f(x + h) - ff(x) = \dfrac{x^2 - 6x}{4}f(x) = 5x - 2x^2f(x) = (2x + 1)(x - 3)f(x) = x^2(x - 3)
- Let $f
- Diego drains a hot tub.
- Let $f
- Find and simplify the difference quotient of $f
- Let $f
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The difference quotient: the lesson ›More Chapter 1 worksheets: Functions in depth: rate of change, end behavior and asymptotes
- 1.1Degree, end behavior and the shape of a polynomial graph
- 1.2Graphing polynomial functions
- 1.3Graphing rational functions
- 1.4The difference quotient
- 1.5Rates at an instant from shrinking intervals
- 1.6Concavity: when the rate of change itself changes
- 1.7Slant asymptotes
- 1.8Polynomial and rational inequalities with sign charts