How do you graph $y = \frac{4}{3} \sqrt{x}$ $y=4/3sqrt(x)$ ?

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How do you graph $y = \frac{4}{3} \sqrt{x}$ $y=4/3sqrt(x)$ ?

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Answer 1 · 2017-04-28T13:00:54

Try different x values and plot accordingly

Explanation:

If you assign $x = 1$ $x=1$ you will get your function $y = \frac{4}{3}$ $y=4/3$

If you assign $x = 2$ $x=2$ you will get $y = 1.886$ $y=1.886$

If you assign $x = 3$ $x=3$ you will get $y = 2.309$ $y=2.309$

etc. On the negative side your function is not defined.

Now plot accordingly.

graph{(4/3)sqrtx [-3, 20, -2, 10]}

Answer 2 · 2017-04-28T13:12:14

See explanation

Explanation:

Suppose the square root of $x$ $x$ is $a$ $a$ . Then the value of a may be positive or negative.

Example

${(- 2)}^{2} = {(+ 2)}^{2} = 4$ $(-2)^2=(+2)^2=4$

So $\sqrt{4} = \pm 2$ $sqrt(4)=+-2$

Thus $y = \frac{3}{4} \sqrt{x}$ $y=3/4 sqrt(x)" "$ is really $y = \pm \frac{3}{4} \sqrt{x}$ $y=+-3/4sqrt(x)$

If you wish the numbers to remain in the real domain $->RR$ then

$y=+-3/4sqrt(-x)$ is not permitted

That is: $x$ is a squared value but the squared value must not itself be negative.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consequently the graph is split into 2 parts

First part: $" "y=+3/4sqrt(x)$
Second part $y=-3/4sqrt(x)$

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How do you graph $y = \frac{4}{3} \sqrt{x}$ $y=4/3sqrt(x)$ ?

2 Answers

Explanation:

Explanation:

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