Determine the intercepts of the line. yy y y -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis xx x x -intercept:

Question

Determine the intercepts of the line. yy y y -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis xx x x -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis

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Hailey 4 weeks 2021-12-30T23:06:33+00:00 1 Answer 0 views 0

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    2021-12-30T23:08:13+00:00

    Question:

    Give all the x and y intercept of the function

    f(x) = \frac{3x^2 - 3x-60}{2x^3 + 2x^2-34x+30}

    Answer:

    The x intercepts are x = 5 and x = -4

    The y intercept is at y = -2

    Step-by-step explanation:

    Factorizing the numerator of the expression we find the x intercepts as follows;

    f(x) = \frac{3x^2 - 3x-60}{2x^3 + 2x^2-34x+30} =\frac{3(x-5)(x+4)}{2x^3 + 2x^2-34x+30}

    Therefore, the x intercept are

    x = 5 and x = -4

    To find the y intercept, we put x = 0 to get y = -2

    Therefore, the y intercept is at y = -2

    Factorizing the denominator we find the values for which the equation is undefined

    2·x³ + 2·x² – 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives

    x = 1, 3 and -5.

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45:7+7-4:2-5:5*4+35:2 =? ( )