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Graph the function `y=4x+5` , with the domain `xlt0` . And, determine its range.what...
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High School Teacher
`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` .
Posted by mjripalda on October 8, 2012 at 5:16 AM (Answer #1)
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