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Published bySpencer Berry Modified over 8 years ago
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1 Section 1.3; Page 99
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4 Domain and Range has no meaning when x is negative x = [-2:0.1:2] y = sqrt(4 - x.^2) plot (x,y) Only valid for x between -2 and +2 inclusive Set of numbers for which the function is defined is called the domain of the function. Range, the values of y (function) can take has no meaning when x is 0 Domain is input range is output This is similar to example 6
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5 Numerator: x ≥ 0 Denominator should be both positive and greater than 0 We need to satisfy the conditions for the numerator and the denominator 0 ≤ x < 2 For tow products to be positive, they both must be positive Numerator: -2≤ x ≤ 2 Denominator: x > 0 function: 0 < x ≤ 2
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21 Section 1.5Shifting, Reflecting, and Stretching Graphs Summary of Graphs of Common Functions
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22 Vertical and Horizontal Shifts (p126) Note: shift to the right
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23 - DOWN - RIGHT
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24 + SHIFT LEFT + 1 SHIFT UP
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25 SHIFT LEFT + SHIFT DOWN -
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26 Reflecting Graphs
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27 MULTIPLY THE WHOLE BY - SUBSTITUTE -x for x
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28 Flip and add 2 Flip and add move right by 3 -3 Page 128
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30 Nonrigid Transformations a change in the shape of the original graph
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33 1.6 Combinations of Functions Just simply write it separately
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35 Try this please
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37 Ignore this and look at the same example we did last class – on slide 5
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38 Compositions of Functions Pay attention to new symbol
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42 Now to be fancy, refer to n as a function h(x), and m as a function f(x)
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