Answer:
i) -0.2 and +1.2
ii) -0.5 and +1.5
Step-by-step explanation:
You want the x-values where the given graph crosses the lines y=0 and y=2.
Graph
This graph has a different vertical scale than horizontal scale. Each grid square horizontally represents 1/2 = 0.5 units.
i) Y=0 intercepts
The answer to this part of the problem is the x-coordinates of the points where the graph crosses the x-axis. Those points lie between -0.5 and 0, and between 1.0 and 1.5. In each case, the crossing point is closer to the origin than it is to the next farther grid line. We can guess that it crosses the space about 4/10 of the distance between grid lines. Using that estimate, we find the approximate solutions to be ...
-0.5(0.4) = -0.2
1.0 +0.5(0.4) = 1.2
The approximate solutions to y=0 are -0.2 and +1.2.
ii) Y=2 intercepts
The graph crosses the line y=2 at grid intersections, so we just need to read their coordinates.
The approximate solutions to y=2 are -0.5 and +1.5.
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Additional comment
The exact solutions for part (i) are (1±√2)/2 ≈ {-0.207107, +1.207107}. The estimated solutions for part (ii) are the exact solutions.
