Pre-Algebra Examples

$5 x^{4} - 2 \sqrt{10 x^{2} y} - 3 y^{2}$

Step 1

To find the end points, substitute the bounds of the $y$ values from the domain into $f (y) = 0$ .

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Step 1.1

Replace the variable $y$ with $0$ in the expression.

$f (0) = 0$

Step 1.2

The final answer is $0$ .

$0$

Step 1.3

Replace the variable $y$ with $\infty$ in the expression.

$f (\infty) = 0$

Step 1.4

The final answer is $0$ .

$0$

Step 2

The end points are $(0, 0), (0, \infty)$ .

$(0, 0), (0, \infty)$

Step 3

The square root can be graphed using the points around the vertex $(0, 0), (0, \infty),$

$\begin{array}{c} x & y \\ 0 & 0 \\ 0 & \infty \end{array}$

Step 4