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What's on the worksheet
- Find the y-intercept and every x-intercept of each function, or explain why there is none.f(x) = x(x - 7)(x + 4)g(x) = 25 - x^2h(x) = 3(x - 2)^2 + 1k(x) = \left(\dfrac{1}{2}\right)^x - 4m(x) = (x^2 + 4)(x - 3)
- Hannah's descending balloon: find when it lands from two heights.
- Use a table of values of a quadratic to say what you can tell about its intercepts.
- Find a from the y-intercept, then list every x-intercept of the cubic.
- Find values of a cubic at several inputs and use them to place its zeros.
- Find the y-intercept of an absolute value function in terms of c, and the values of c that give x-intercepts.
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The free lesson teaches it with worked examples and practice problems.
Intercepts and zeros of a function: 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