functions domain and range

Question

For each function below, state domain and range, name the intervals where function is increasing or decreasing, and describe end behavior.

f(x) = 1/2 x²

y = x² + 3

y = -3x²

Answer 1

The domain for all three functions is ALL REALS, because they are quadratic polynomials (specifically parabolas)

RANGE INCREASING DECREASING

#1) [0,infinity] [0,infinity] [-infninity,0]

#2) [3,infinity] [0,infinity] [-infninity,0]

#3) [-infinity,0] [-infinity,0] [0,infinity]