Question

Which is the graph of (Notice the increments on the graph are by 2.)

Answer 1

First step in selecting which graph does the function represents is by finding the y-intercept.

y-intercept is the value of f(x) when x = 0.

From the given function :

`f(x)=-x^4-4x^3-3x^2+x+4`

Let x = 0,

`\begin{gathered} f(x)=-(0)^4-4(0)^3-3(0)^2+0+4 \\ f(x)=4 \end{gathered}`

The y-intercept is 4, therefore, the graph intersects at (0, 4)

Among the choices, the only graph that intersects the y-axis at (0, 4) is Choice B.