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Gala2k [10]
3 years ago
7

Use the graph of y=f(x) in the figure to estimate:

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

9514 1404 393

Answer:

  • f(0) ≈ 22
  • f(1) = 10
  • f(b) ≈ -8
  • f(c) = 0
  • f(d)  24

Step-by-step explanation:

This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.

You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).

Here's our eyeball estimate:

  • f(0) ≈ 22
  • f(1) = 10
  • f(b) ≈ -8
  • f(c) = 0
  • f(d)  24

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