For the function y = x + 9, what is the output value if 4 is the input value?
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Answer:
( -6,-2 ) and ( 3,7 )
Step-by-step explanation:
We are given the graph of function which is increasing in some parts and decreasing in other.
Now in x < -6, the function is increasing to reach the point ( -6,5 ).
Also, in interval ( -6,-2 ) the function is decreasing to reach the point ( -2,-7 ).
Further, in interval ( -2,3 ) the function is increasing to reach the point ( 3,6 ).
Then, in interval ( 3,7 ) the function is decreasing to reach the point ( 7,-5 ).
Finally, in x > 7, the function is increasing to infinity.
Hence, we see that the intervals where the function is decreasing are ( -6,-2 ) and ( 3,7 ).
Further, the ray AB and the line segment AC plotted in the graph can be seen in the figure below.
