Question

What is the y-intercept of the graph y = -x³-5x²-3x + 9?A. (0,0)B. (0,1)OC. (0,9)OD. (1,0)

Answer 1

Given: The function below

`y=-x^3-5x^2-3x+9`

To Determine: The y-intercept

Solution

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

So, when x = 0

`\begin{gathered} x=0 \\ y=-(0)^3-5(0)^0-3(0)+9 \end{gathered}`
`\begin{gathered} y=-0-0-0+9 \\ y=9 \end{gathered}`

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