How do you find the domain and range of #f(x) = 3-2x^2 #?

1 Answer
Oct 29, 2017

Answer:

Domain; # x in RR#
Range; # f(x) <= 3 #

Explanation:

It is straightforward when we sketch the function; graph{3-2x^2 [-10, 10, -5, 5]}

Hence #x in RR#
And we can prove that the greatest value of #f(x)# is 3, as #f(0) = 3#, and as the porabola is negative, then any other value of x is #<=3#

Hence #f(x) <=3# and # x in RR#