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Magazine Chapter 7: Q7. (page 356)
Determine consecutive values of x between which each real zero of each function is located. Then draw the graph.
Short Answer
The consecutive values of x between which each real zero of the function is located are-2 and -1, -1 and 0, 0 and 1, 1 and 2.
Step by step solution
Step 1. Given Information.
Given to determine the consecutive values of x between which each real zero of the function is located. Then the graph needs to be drawn.
Step 2. Explanation.
The real zero of a function lies where the value of the function changes from positive to negative or negative to positive.
So, making a table of values of the function:
x | f(x) |
-2 | 2 |
-1 | -1 |
0 | 2 |
1 | -1 |
2 | 2 |
Here the value of the function changes four times between -2 and -1, -1 and 0, 0 and 1, 1 and 2.
Graphing the function using the values in the table:
Step 3. Conclusion.
Hence the consecutive values of x between which each real zero of the function is located are -2 and -1, -1 and 0, 0 and 1, 1 and 2.
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