Answer:
The graph is shown below.
Step-by-step explanation:
Given:
Piece wise function
[tex]y=-x-4\textrm{ if }x<-1\\y=2x+1\textrm{ if }x\geq-1[/tex]
Let us plot each of the two functions in the given interval.
For plotting [tex]y=-x-4[/tex], we find its x and y intercept.
For x intercept, put [tex]y=0[/tex]. This gives,[tex]x = -4[/tex]. So, point is (-4,0)
For y intercept, put [tex]x = 0[/tex]. This gives, [tex]y=-4[/tex]. So, point is (0,-4)
Now, plot these two points and join a straight line. Now [tex]x < -1[/tex]. So we erase the part that is greater the point [tex]x = -1[/tex]. We make a hollow circle at [tex]x=-1[/tex] as [tex]x =-1[/tex] is not in the domain of first function.
Similarly, we plot the second line.
For x intercept, put [tex]y=0[/tex]. This gives,[tex]x = -0.5[/tex]. So, point is (-0.5,0)
For y intercept, put [tex]x = 0[/tex]. This gives, [tex]y=1[/tex]. So, point is (0,1).
We erase the line that is less than [tex]x =-1[/tex]. We make a solid circle at [tex]x =-1[/tex] as it is in the domain of the second function.
Therefore, the graph is as shown below.
Answer:
top left
Step-by-step explanation:
took the test and got it correct
