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Finding zeroes and y intercepts . via the Calculator Zeroes - using the Trace function y intercepts - Using the Calculate function Algebraically. Tomorrow Asymptotes. Zeroes and y Intercepts. DEFINITIONS:
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Finding zeroes and y intercepts via the Calculator Zeroes - using the Trace function yintercepts - Using the Calculate function Algebraically Tomorrow Asymptotes
Zeroes and y Intercepts DEFINITIONS: • Zeroes are points, where a function crosses the x axis specifically, f(x) = 0 • y intercepts are points, where a function crosses the y axis specifically, x = 0
Finding zeroes by Tracing on Calculator • < Y= > • enter f(x) • < GRAPH > • if necessary, resize window • < 2nd > < CALC > • 2 < ENTER > (for zero) • move cursor to left of zero (left bound) • < ENTER > • move cursor to right of zero (right bound) • < ENTER > Guess ? • < ENTER >
Finding y intercepts via the Calculate feature on Calculator • < Y= > • enter f(x) • < GRAPH> optional to view the function graphically • if necessary, resize window to view • < 2nd > < CALC > • “1” (for value) • “0” (entering a value of zero for X) • < ENTER >
Zeroes and X Intercepts When sketching functions, the first algebraic step is to identify the zeroes and the y intercepts. • Zeroes are points, where a function crosses the x axis specifically, set f(x) = 0 and solve for x. • y intercepts are points, where a function crosses the y axis specifically, set x = 0 and solve f(x)
Examples & Practice 1st Solve Algebraically, then check your answers using your calculator: This is Homework
Asymptotes When sketching functions, the next step is to identify the asymptotes, if any. ……Wednesday ? …… (depends on Plan/Explore Testing Schedule)