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Question
Draw the graph of the following function:
f(x) = 16 – x2
Solution
f(x) = 16 – x2
Let y = f(x) = 16 – x2
Choose suitable values for x and determine y. Thus we get the following table.
| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| y | 0 | 7 | 12 | 15 | 16 | 15 | 12 | 7 | 0 |
Plot the points (-4, 0), (-3, 7), (-2, 12), (-1, 15), (0, 16), (1, 15), (2, 12), (3, 7), (4, 0).
The graph is as shown in the figure.
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