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- Find the average rate of change of each function on the given interval.f(x) = x^3 on [1, 3]g(x) = |x - 2| on [-2, 4]h(x) = \sqrt{x} on [4, 25]k(x) = \dfrac{12}{x} on [2, 6]m(x) = (x + 1)(x - 3) on [-1, 5]
- Find the slip in Owen's average rate of change of a quadratic.
- Ski racer: use the distance formula to find average speed over a time interval.
- Maya's theater: find average rate of change of revenue between ticket prices.
- Find the value of b that gives an average rate of change of 10, and check it.
- Find the average rate of change of a rational function on each interval, or explain why there is none.
- Show a general formula for the average rate of change of one over x and use it.
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Average rate of change from a formula: the lesson ›More Chapter 3 worksheets: Functions: notation, domain, range, graphs and linear models
- 3.1Function notation in a real situation
- 3.2Evaluating a function at an expression
- 3.3The identity and constant functions
- 3.4Domain and range from a graph
- 3.5A reasonable domain for a real situation
- 3.6End behavior
- 3.7Average rate of change from a table or graph
- 3.8Average rate of change from a formula
- 3.9Linear functions in context
- 3.10Solving f(x) = g(x) with graphs and tables
- 3.11Point-slope form and the line through two points
- 3.12Standard form of a line
- 3.13Modeling with linear relationships