TRIGONOMETRIC FUNCTIONS | Graphing And Analysis (Page 7 of 13) |
Now repeat the procedure to find the right x-intercept. The x-intercepts for the cycle shown are approximately x = 1.75 and x = 2.17, rounding to two decimal places. Since the period is π/2, all of the zeros can be expressed as 1.75 + kπ/2 and 2.17 + kπ/2, where k is any integer. From the graph for this cycle, we observe that the y-values will be positive if x < 1.75 or if x > 2.17, and will be negative if 1.75 < x < 2.17. Therefore, f(x) > 0 on the interval and f(x) < 0 on the interval (1.75, 2.17), approximately. |
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