# How do you graph #sqrtx", if "x>0 and -1/2x+3", if "x≤ 0#?

##### 1 Answer

see explanation

#### Explanation:

Consider

Set

Any number that is negative times its self will give a positive answer.

Any number that is positive times itself will give a positive answer.

So in this case

This is a roundabout way of writing

So really this is a quadratic in

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Consider:

Firstly this is an equation of a straight line: form

The gradient (

The constant

The plot well terminate at the y-axis so there is no line on and to the right of the y-axis.

Pick any value for

then

Mark the point

Using a ruler line this up with the value of 3 on the x-axis and draw your line making sure you do not go beyond the y-axis into the zone