Question

HELP ME PLEASE!!

What are the domain and range of the function f(x)=1/4(x^3+6x^2+5x-4)

choices:
domain: (-5,0)
range: (-2,0.5)

domain: (-3.5, 2.5)
range: (-0.5, -1.3)

domain: (infin., 1/4)
range: -4, infin.)

domain: (-infin., infin.)
range: (-infin., infin.)

Answer 1

domain: (-infin., infin.)

range: (-infin., infin.)

Explanation:

This is an odd degree polynomial which forms a sideways S shape starting low and ending high. Since nothing restricts the function from having an output for every real number input, the domain and range are (-infin., infin.).