Graph the function and identify the domain and range.

y = 0.5x^2

Question

Graph the function and identify the domain and range.

y = 0.5x^2

explainitlikeimfive · Answer

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kirbykirby · Answer

One thing you can do to eliminate choices right away is to determine where the vertex of the parabola is. There is no vertical shift, so it means you need to find the x-intercept, as the vertex lies on the x-axis. 

To find the x-intercept, it means like y=0.... hence 0.5x^2=0 and solve for x

explainitlikeimfive · Answer

So I can eliminate B and C?

kirbykirby · Answer

You can eliminate C, but you can't eliminate B

explainitlikeimfive · Answer

So my options are B and D?

kirbykirby · Answer

Yes. 
Now, do you know what determines if the parabola faces this way $\cup$ or this way $\cap$

explainitlikeimfive · Answer

No

kirbykirby · Answer

If you have a parabola of the form $ax^2+bx+c$, if $a$ is positive, it will be this way $\cup$
If $a$ is negative, it will be this way $\cap$

kirbykirby · Answer

notice that here $b=0$ and $c=0$ for the equation $0.5x^2$

explainitlikeimfive · Answer

So it would be D

kirbykirby · Answer

No. Be careful, 0.5 is a positive number (it's greater than 0)

explainitlikeimfive · Answer

Oh, I understand now. Thank you

kirbykirby · Answer

your welcome