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

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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]}

How do you find the domain and range of y=3x^2y=3x2y=3x^2?