Sharp EL-9900 EL9900 Operation Manual - Page 82
Relative Extrema
UPC - 074000016880
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RELATIVE EXTREMA 1. Set the graphing calculator to rectangular graphing by pressing 2ndF SET UP E (COORD) 1 (Rect). Press 2ndF QUIT to exit the SET UP menu. 2. Consider f(x) = 2x 3 - 7x 2 - 70x + 75. Press Y= CL to access and clear Y1. Press ENTER CL to clear additional Y prompts. Enter f(x) for Y1 by ▼ pressing 2 X/θ/T/n ab 3 - 7 X/θ/T/n x2 - 7 0 X/θ/T/n + 7 5. 3. Graph the function by pressing WINDOW (-) 1 0 ENTER 1 0 ENTER 1 ENTER ZOOM A (Zoom) 1 (Auto). 4. To determine the point at which the relative maximum occurs, press 2ndF CALC 4 (Maximum). The maximum occurs at x = -2.44. 5. Find the point at which the relative minimum occurs by pressing 2ndF CALC 3 (Minimum). The minimum occurs at x = 4.776. 6. Combining this information with a view of the graph, we see that f(x) is increasing for x = -∞ to -2.4427 and from 4.776 to ∞ while f(x) is decreasing for x between -2.4427 and 4.776. 7 Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.