Pre-Calc Homework Solutions 3

Pre-Calc Homework Solutions 3 - Section 1.1 31. (a) The...

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31. (a) The desired line has slope 2 1 and passes through (0, 0): y 52 1( x 2 0) 1 0 or y x . (b) The desired line has slope } 2 2 1 1 } 5 1 and passes through (0, 0): y 5 1( x 2 0) 1 0 or y 5 x . 32. (a) The given equation is equivalent to y 2 x 1 4. The desired line has slope 2 2 and passes through ( 2 2, 2): y 2( x 1 2) 1 2 or y 2 x 2 2. (b) The desired line has slope } 2 2 1 2 } 5 } 1 2 } and passes through ( 2 2, 2): y 5 } 1 2 } ( x 1 2) 1 2 or y 5 } 1 2 } x 1 3. 33. (a) The given line is vertical, so we seek a vertical line through ( 2 2, 4): x 2. (b) We seek a horizontal line through ( 2 2, 4): y 5 4. 34. (a) The given line is horizontal, so we seek a horizontal line through 1 2 1, } 1 2 } 2 : y 5 } 1 2 } . (b) We seek a vertical line through 1 2 1, } 1 2 } 2 : x 1. 35. m 5 } 9 3 2 2 2 1 } 5 } 7 2 } f ( x ) 5 } 7 2 } ( x 2 1) 1 2 5 } 7 2 } x 2 } 3 2 } Check: f (5) 5 } 7 2 } (5) 2 } 3 2 } 5 16, as expected. Since f ( x ) 5 } 7 2 } x 2 } 3 2 } , we have m 5 } 7 2 } and b 52} 3 2 } . 36. m 5 } 2 4 4 2 2 ( 2 2 1) }5} 2 2 3 }52} 3 2 } f ( x ) 3 2 } ( x 2 2) 1 ( 2 1) 3 2 } x 1 2 Check: f (6) 3 2 } (6) 1 2 7, as expected.
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