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

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Answer 1 · 2018-06-14T14:29:37

Domain: #{x|x in RR}#

Range: #{y|y in RR, y>=0}#

#y=3x^2# is a quadratic function, all quadratic functions have a domain of all real numbers:

#{x|x in RR}#

The #x# and #y# intercepts are both zero so the vertex is #(0, 0)#

since the coefficient of #x^2# is positive the parabola opens up and has a minimum so the range is:

#{y|y in RR, y>=0}#

graph{3x^2 [-10, 10, -5, 5]}