Graph f(x) square root of x

$f (x) \sqrt{x}$

Step 1

Divide each term in $f (x) \sqrt{x} = 0$ by $f (x)$ and simplify.

Divide each term in $f (x) \sqrt{x} = 0$ by $f (x)$ .

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

Simplify the left side.

Cancel the common factor of $f (x)$ .

Cancel the common factor.

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

Divide $\sqrt{x}$ by $1$ .

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

Simplify the right side.

Divide $0$ by $f (x)$ .

$\sqrt{x} = 0$

Step 2

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{x}}^{2} = 0^{2}$

Step 3

Simplify each side of the equation.

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

${(x^{\frac{1}{2}})}^{2} = 0^{2}$

Simplify the left side.

Simplify ${(x^{\frac{1}{2}})}^{2}$ .

Multiply the exponents in ${(x^{\frac{1}{2}})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{1}{2} \cdot 2} = 0^{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x^{\frac{1}{2} \cdot 2} = 0^{2}$

Rewrite the expression.

$x^{1} = 0^{2}$

Simplify.

$x = 0^{2}$

Simplify the right side.

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

$x = 0$

Step 4

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

Replace the variable $y$ with $S E T, x | x E R$ in the expression.

$f (S E T, x | x E R) = 0$

The final answer is $0$ .

$0$

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

$f (\infty) = 0$

The final answer is $0$ .

$0$

Step 5

The end points are $(0, S E T, x | x E R), (0, \infty)$ .

$(0, S E T, x | x E R), (0, \infty)$

Step 6

The square root can be graphed using the points around the vertex $(0, S E T, x | x E R), (0, \infty),$

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

Step 7

Graph f(x) square root of x

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