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ajyoung3142005oztpya
14.07.2019 •
Mathematics
Me find the answer to this piecewise 20 points
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Ответ:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Read coordinates of the two points on the first piece:
(-3, 0) and (-2, 1).
Calculate the slope:
Put it and coordinates of the point (-3, 0) to the equation of a line:
Read coordinates of the two points on the second piece:
(-1, 5) and (1, 5) - second coordinates are the same.
It's a horizontal segment. Therefore the equation is![y=5](/tpl/images/0086/9771/62436.png)
Ответ:
So we have x+3 if -3<=x<=-1
and 5 if -1<=x<=1
Step-by-step explanation:
The one piece from -1 to 1 is horizontal so the line is in the form of y=a number. It goes through 5 on the y-axis so the equation there is y=5.
From -3 to -1, that is a line with positive slope (since that part is increasing).
Slope=rise/run
We see from the filled in dot to the unfilled in dot that the rise is 2 and the run is 2 so the slope is 2/2=1.
So if we did extend this line where we go at on the y-axis? It would go through 3 because starting from the unfilled dot and rising 1 and running 1 will get us to the 3 on the y-axis.
The equation of a line in slope-intercept form is y=mx+b.
We have m=1 and b=3 so the equation is y=1x+3 or just y=x+3.
So we have x+3 if -3<=x<=-1
and 5 if -1<=x<=1
Ответ: