Help please?
1 Answer
Explanation:
There are two separate functions to find in this piecewise definition. If you look at the graph, there are also two lines on separate intervals. If we find the equations of those two lines and find out the x-value range for each, we can fill in the answer.
Start with the first line. (You'll need to know how to find the equation of a line using the slope-intercept form.)
You can see that the y-intercept is at
Also, the
So the equation of the first line is:
Next, see where the line starts and ends. Looking at the graph, it starts at
For the second line, use the same process. The slope is
So the equation for the second line is:
Again, the second line starts at
Put all this together and you get the answer: