# How do you find the end behavior and state the possible number of x intercepts and the value of the y intercept given #h(x)=-7x^4+2x^3-3x^2+6x+4#?

##### 1 Answer

Dec 16, 2016

x-intercepts ( y = 0 ): near

As

#### Explanation:

y = h(x)

So, zeros are bracketed in

( 1, 2) and (-0.5m 0)

So a zero of y'is bracketed in (0, 1).

So, yi is a decreasing function.

It is now evident that there are only 2 x-intercepts.

The graph illustrates all these aspects.

x-intercepts ( zeros of y ) near

y-intercept ( x = 0 ): 4.

As

x-intercepts ) y = 0 ) near

As

graph{-7x^4+2x^3-3x^2+6x+4 [-2, 2, -11.54, 11.45]}