describe the end behavior of the following function: f(x)=7x^2-3x^2-6

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describe the end behavior of the following function: f(x)=7x^2-3x^2-6

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    2021-10-15T01:50:45+00:00

    We are given function : f(x)=7x^3-3x^2-6.

    We need to describe the end behavior of the given function.

    In order to describe end behavior of a function we need to find the degee and leading coefficient of the given function.

    Degree of the given function is the maximum power of the exponent.

    We have x^3, there.

    Therefore, degree of the given function is : 3 an odd degree and

    Leading coefficient is : 7 a positive number.

    According to end behavior rule, when degree is an odd degree and leading coefficient is a positive number the f(x) would be of same sign as x.

    Therefore end behavior would be

    x –> + ∞ , f(x) –> + ∞

    x –> – ∞ , f(x) –> – ∞

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