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 :
[tex]f(x)=-x^4-4x^3-3x^2+x+4[/tex]
Let x = 0,
[tex]\begin{gathered} f(x)=-(0)^4-4(0)^3-3(0)^2+0+4 \\ f(x)=4 \end{gathered}[/tex]
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.
