110110 Zeros and solutions 2

X f x g x f x g x g x f x 1 5 2 3 2 2 7 3 6 6 4 2 5 5

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will fit, and you may choose any of them.) x f ( x ) g ( x ) f ( x ) – g ( x ) g ( x ) – f ( x ) 1 5 2 3 2 2 7 3 6 6 4 2 5 5 1 6 –4 7 0 b. Which of the x -values in the table above are solutions to the equation f ( x ) = g ( x ) ? c. How do the zeros of g ( x ) – f ( x ) relate to the zeros of f ( x ) – g ( x ) ? Explain.
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Name Honors Algebra 2 January 10, 2011 “Zeros and solutions” day 2 page 2 7. Solve the equation x 2 + 4 x + 9 = x 2 + 3 x + 6 on your calculator in two different ways as specified below. Fill in the screens to show what you did. a. by making two graphs and finding their intersection(s) [Use “calc” 5:intersect .] Solutions: b. by making only one graph and finding its zero(s) [Use “calc” 2:zero .] Solutions: 8. Solve the equation x 2 = 3 x on your calculator in two different ways as specified below. Fill in the screens to show what you did. a. by making two graphs and finding their intersection(s) Solutions: b. by making only one graph and finding its zero(s) Solutions: 9. Here are some values of a function h ( x ). h (–4) = –4 h (–2) = 0 h ( 0 ) = 1 h ( 3 ) = 3 h ( 5 ) = 0 Based on this information, what numbers are zeros of h ( x )? 10. Suppose that the number 0 is a zero of a function F ( x ). What does that tell you about the graph of F ( x ) ? Explain why.
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Name Honors Algebra 2 January 10, 2011 “Zeros and solutions” day 2 page 3 11.
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