FUNCTIONS Basic Graphing And Analysis (Page 9 of 12)

Now repeat the procedure to find the right x-intercept. We will use a left bound of -2, a right bound of -0.5, and a guess of -1.

 2nd CALC key. 2: menu selection. Negation key. 2 ENTER key. Negation key. 0.5 ENTER key. Negation key. 1 ENTER key. Calculator screen image.

The x-intercepts are approximately x = -2.7002 and x = -1.1601, rounding to four decimal places.

From the graph, we observe that the y-values will be positive if x < -2.7002 or if x > -1.1601, and will be negative if -2.7002 < x < -1.1601. Therefore, f(x) > 0 on the interval (-infinity, -2.7002)U(-1.1601, infinity) and f(x) < 0 on the interval (-2.0072, -1.1601), approximately.

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