Analyzing the given function
1) Domain
f(x)=x3+4x x cannot be zero
x<0 or x>0
2) Range
f(x)=x3+4x
Let y=x3+4x
xy=3+4x
x(y−4)=3
x=y−43 y cannot be 4
∴ Range is f(x)<4 or f(x)>4
3) Asymptotes
Vertical asymptote is x=0
Horizontal asymptote y=4
4) Zeros
x3+4x=0
3+4x=0
⟹4x=−3x=−0.75
Graph of the function
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