Algebra Examples

$\sqrt{c^{3}}$

Step 1

The domain in terms of $y$ are all the $y$ values that make the radicand greater than $0$ .

$[0, \infty)$

${c | c \geq 0}$

Step 2

To find the square root end point, substitute the $y$ value $0$ , which is the terminal value in the domain, into $\sqrt{c^{3}}$ .

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Step 2.1

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

$f (0) = \sqrt{{(0)}^{3}}$

Step 2.2

Simplify the result.

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Step 2.2.1

Raising $0$ to any positive power yields $0$ .

$f (0) = \sqrt{0}$

Step 2.2.2

Rewrite $0$ as $0^{2}$ .

$f (0) = \sqrt{0^{2}}$

Step 2.2.3

Pull terms out from under the radical, assuming positive real numbers.

$f (0) = 0$

Step 2.2.4

The final answer is $0$ .

$x = 0$

Step 3

The square root end point is $(0, 0)$ .

$(0, 0)$

Step 4