How do you find the domain and range of f(x) = 3-2x^2 f(x)=32x2?

1 Answer
Oct 29, 2017

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