Graph the function `y=4x+5` , with the domain `xlt0` .

And, determine its range.

what is the range of the function above? find the x-intercept and the y-intercept of 3x+6y=12

x-intercept:

y-intercept:

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`y= 4x + 5` , if `xlt0`

To graph linear equations, we need at least two points. Let's use the x and y intercept as our two points.

To solve for the x-intercept, set y equal to zero.

`y=0` , `y=4x+5` `-5=4x`

`0=4x+5` `-5/4=x`

So, the x-intercept is `(-5/4,0)` .

To solve for the y-intercept, set x equal to zero.

`x=0` , `y=4x+5`

`y=4*0+5`

`y= 5 `

Hence, the y-intercept is `(0,5)` .

Then, plot (-5/4,0) and (0,5), and connect these two points. . Since the domain is x<0, this indicates that (0,5) is a hole and the graph is continuous to the left of (0,5).

**Thus, the graph is:**

As shown above, going from left to right, the line stops at the hole which is (0,5). **Hence, the range is `ylt5` . **

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