Question

Determine the y-intercept of the function ƒ(x) = x4 + 3x3 – 2x + 7.

Answer 1

hello i simplified this equation to be f(x)=x^4-2x+16. i believe the y intercept is (0,16)

Answer 2

(0,7)

Explanation:

So we have:
`f(x)=x+2x^(3)-2x+7` .

The y-intercept is the point where the y-axis is crossed (or intercepted, if you will) by the function. Since the y-axis is located where x=0, we can find the y-intercept by letting x=0.

`f(x)=x+2x^(3)-2x+7`

`f(0)=0+2(0)^(3)-2(0)+7=7`

So the y-intercept is at (0,7)