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
`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`
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= 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` .