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What's on the worksheet
- List the relative maxima and minima of a graph that rises at both ends.
- Give the relative and absolute extremes of a function on a limited domain.
- Cyclist's heart rate table: find the highest and lowest values and the turning points.
- Find relative and absolute extremes of each function on the domain given.f(x) = 3 - 2x, \;\; -1 < x \le 4g(x) = (x - 5)^2, \;\; 0 \le x \le 3h(x) = x^2 - 1, \;\; -1 \le x < 2k(x) = 2 - (x + 1)^2, \;\; -3 < x \le 1
- Use the known peak and valley to find the extremes of a function on a limited domain.
- Decide whether each statement about extremes is always, sometimes or never true.
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The free lesson teaches it with worked examples and practice problems.
Turning points, maximums and minimums: the lesson ›More Chapter 9 worksheets: Quadratic functions and their graphs
- 9.1What makes an expression quadratic
- 9.2The shape of a parabola
- 9.3The vertex and the axis of symmetry
- 9.4Graphing from standard form
- 9.5Roots, zeros and x-intercepts
- 9.6Intercepts and zeros of a function
- 9.7Increasing, decreasing, constant, positive and negative intervals
- 9.8Turning points, maximums and minimums
- 9.9Maximum, minimum and range of a quadratic function
- 9.10Quadratic functions in context