Answer :

Given: The function below

[tex]y=-x^3-5x^2-3x+9[/tex]

To Determine: The y-intercept

Solution

The y-intercept is the point where the function x value is zero

So, when x = 0

[tex]\begin{gathered} x=0 \\ y=-(0)^3-5(0)^0-3(0)+9 \end{gathered}[/tex][tex]\begin{gathered} y=-0-0-0+9 \\ y=9 \end{gathered}[/tex]

Hence, the y-intercept is (0, 9), OPTION C

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