Describe end behavior

Question

for the polynomial function f describe end behavior of f

f(x)=3x⁴+x+3

Answer 1

the highest powered term dominates, 3x^4

as x gets very large or very small, 3x^4 blows up and approaches infinity

the graph is usually like a W shape, with ends going upwards endlessly

as x approaches negative infinity, f(x) approaches infinity

as x approaches positive infinity f(x) approaches infinity