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Find the y-intercept by setting x=0.

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Answer

(0, 0)\text{(0, 0)}

Graph of y = x³ − 2x² − 3x

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Key points of y = x³ − 2x² − 3x
Pointxy
x-intercept−10
Maximum−0.540.88
x-intercept00
Minimum1.87−6.06
x-intercept30

Step-by-step solution

2 steps

Here's a detailed breakdown of the function y=x3−2x2−3xy = x^3 - 2x^2 - 3x.

9.1 Determine the intercepts with the axes.

  1. Find the y-intercept by setting x=0x=0.

    y=(0)3−2(0)2−3(0)y = (0)^3 - 2(0)^2 - 3(0) y=0y = 0

    The y-intercept is (0, 0)\boxed{\text{(0, 0)}}

  2. Find the x-intercepts by setting y=0y=0.

    x3−2x2−3x=0x^3 - 2x^2 - 3x = 0

    Factor out xx:

    x(x2−2x−3)=0x(x^2 - 2x - 3) = 0
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