How do you find domain and range for #y=3x^2#?

1 Answer
Trevor Ryan.
Oct 25, 2015

Domain = #RR#
Range = #[0,oo)#

Explanation:

Since this is a 2nd degree quadratic function, it implies its graph is a parabola and in this case with axis of symmetry at x=0 and y-intercept of 0, with the arms going up.

Therefore the domain is all real values for x, ie #RR=(-oo,oo)#

The range is all y values greater than or equal to zero, ie #y in[0,oo)#

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