Given f(x) =x^3-7x^2+36 Draw the graph of f and clearly indicate all intercepts and coordinates of turning points

Question

Given f(x) =x^3-7x^2+36
Draw the graph of f and clearly indicate all intercepts and coordinates of turning points

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Hưng Khoa 3 weeks 2023-01-15T03:12:34+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-15T03:13:55+00:00
    A function assigns the value. The x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.

    What is a Function?

    A function assigns the value of each element of one set to the other specific element of another set.
    In the given function, if the value of x is kept as 0, then you will get the value of the y-intercept of the function as,
    f(x) = x³- 7x² + 36
    f(0) = (0)³ – 7(0)² + 36
    f(0) = 36
    The value of y is kept as 0, then you will get the x-intercept of the function,
    f(x) = x³- 7x² + 36
    0 = x³- 7x² + 36
    0 = (x+2)(x-3)(x-6)
    x = -2, 3, 6
    Hence, the x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.
    Learn more about Function here:
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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )