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MCR3U Quadratic Functions

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  • October 12, 2022 at 5:52 pm #24003

    MLS Admin
    Keymaster

    Given a quadratic function f(x) and a linear function g(x), describe two ways you could determine the number of points of intersection of the two functions without solving for them.

    October 14, 2022 at 7:24 am #24119

    Na Yi
    Participant

    A linear function and a quadratic function can intersect at a maximum of two
    points.
    • The point(s) of intersection of a line and a parabola can be found
    • graphically
    • algebraically
    To determine the points of intersection algebraically, use substitution
    to replace in the quadratic function with the expression for from
    the linear function. This results in a quadratic equation whose solutions
    correspond to the x-coordinates of the points of intersection.

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