Question

How do you graph `y=4/3sqrt(x)`?

Answer 1

Try different x values and plot accordingly

Explanation:

If you assign `x=1` you will get your function `y=4/3`

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

If you assign `x=3` you will get `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

See explanation

Explanation:

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

Example

`(-2)^2=(+2)^2=4`

So `sqrt(4)=+-2`

Thus `y=3/4 sqrt(x)" "` is really `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.
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Consequently the graph is split into 2 parts

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

Tony B