What is the domain and range of f(x)=4-3x^2?

1 Answer
F. Javier B.
May 17, 2018

See explanation below

Explanation:

Given #f(x)=4-3x^2#

Domain: is the set of numbers x for which f(x) is a real number.

Applying definition, we see that for every x put in function expression give a real number. So the domain is #RR#

In adition, all polinomic function has #RR# as domain

By the other hand, we know graph of #f(x)# is a parabola with branches to down (negative coefficient of #x^2#) and all values are lower than 4 (obtained for #x=0#). Then Image is #[4, -oo)#

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