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MATH 121 - WRITTEN EXERCISES-MODULE 4

# MATH 121 - WRITTEN EXERCISES-MODULE 4 - Jimmy...

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Unformatted text preview: Jimmy Morgan-MAT-121-OL-(1 Nov 09 thru 23 Jan 2010 Module 4 Written Assignment 3.1 2.) In Exercise 2, you are given an equation and the graph of a quadratic function. Do the following. A.) Give the Domain and Range b.) Give the coordinates of the vertex c.) Give the equation of the axis d.) Find the y- intercept e.) Find the x-intercepts. 2 ( ) ( 5) 4 f x x =-- Vertex= ( 10) 10 5 2(1) 2- - = = 2 10 21 x x- + 2 ( ) ( 10 ) 21 f x x x =- + 2 2 1 ( 10) ( 5) 25 2 - = - = 2 ( ) ( 10 25 25) 21 f x x x =- +- + = 2 ( 10 25) 25 21 x x- +- + = 2 ( 5) 4 x-- a.) Domain: ( 29 ,-∞ ∞ , Range [ 29 4,- ∞ b.) Vertex: (5, -4) c.) Axis Equation: x = 5 d.) y-intercept = 21 e.) x-intercepts = 3, 7 18.) Graph each quadratic function. Give the vertex, axis, domain, and range. 2 ( ) 3( 2) 1 f x x = -- + 2 3 12 11; 3, 12, 11 x x a b c- +- = - = = - 12 12 2 2 2( 3) 6 b a--- = = =-- 2 (2) 3(2) 12(2) 11 f = - +- = 12 24-11- + = 1 Jimmy Morgan-MAT-121-OL-(1 Nov 09 thru 23 Jan 2010 Vertex: (2, 1), Axis: x = 2, Domain: ( 29 ,-∞ ∞ , Range: ( ] ,1-∞ 3.1 (Con’t) 24.) Graph each quadratic function. Give the vertex, axis, domain, and range. 2 3 24 46 x x- +- a = -3 , b = 24, c = -46 x = h = 24 24 4 2 2( 3) 6 b a--- = = =-- 2 (4)=-3(4) 24(4) 46 f +- = 48 96 46- +- = 2 Vertex: (4, 2), Axis: x = 4, Domain: ( 29 ,-∞ ∞ , Range: ( ] ,2-∞ Jimmy Morgan-MAT-121-OL-(1 Nov 09 thru 23 Jan 2010 3.1 (Con’t) 64.) College Freshman Pursuing Computer Science Degrees. Between 1998 and 2004, the number of college freshman who planned to get a professional degree in computer science can be reasonably modeled by 2 ( ) 348.2 1402 13,679, f x x x = - + + where x = 0 represents 1998. Based on this model, in what year did the percent of freshman planning to get a computer science degree reach its maximum? 2 ( ) 348.2 1402 13,679 f x x x = - + + ; 2 ( ) f x ax bx c = + + Vertex = 2 b a- ; 1402 1402 2.0132 2( 348.2) 696.4-- = =-- ( since 2000 corresponds to x = 2 in this table, The answer is 2000 )....
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MATH 121 - WRITTEN EXERCISES-MODULE 4 - Jimmy...

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