Answer to Question #130308 in Calculus for Everlyn N Ndirangu

Question

The table of values was generated by a graphing utility with a TABLE feature.  
Use the table to determine the points where the graphs of and intersect.
The graphs of and intersect at the points....
X Y1 Y2
-3 8 -4
-2 3 -3
-1 0 -2
0 -1 -1
1 0 0
2 3 1
3 8 2

Answer 1

To determine the points where two graphs Y₁ and Y₂ intersect, we should determine the coordinates satisfying the equality $(X,Y_1) = (X, Y_2).$

We can see that only two sets of coordinates satisfy this equality, namely (0, -1) and (1,0). So we may say that these graphs intersect in two points, (0, -1) and (1,0)