How do you graph #y < x^2# and #y > 2#?

Answer 1

First, graph parabola y= #x^2# and the straight line y=2. The parabola, which would open upwards, would have its vertex at (0,0), axis of symmetry being the y axis. The region of inequality would lie to outer side of the curve and upper side of the line y=2. Both the line y=2 and the curve of the parabola need to be dotted, as neither of them form part of the inequality.

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Answer 2

Jameson Allen

To graph \( y < x^2 \) and \( y > 2 \), you'll first graph the parabola \( y = x^2 \) and then shade the regions according to the inequalities: 1. Graph the parabola \( y = x^2 \). 2. Shade the region below the parabola for \( y < x^2 \). 3. Shade the region above the horizontal line \( y = 2 \) for \( y > 2 \). The shaded regions will be the solution area for the system of inequalities.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph #y &lt; x^2# and #y &gt; 2#?

How do you graph #y < x^2# and #y > 2#?