# Q3 - f ( x ) . (b) On what intervals is the graph of f ( x...

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Problem 1 2 3 4 5 Bonus: Total: Points 20 20 20 20 20 10 100+10 Scores MAP 103: Proﬁciency Algebra, Quiz #3, Fall 2009 Name Id# Oct. 8, 2009 1. Consider a relation R = { ( - 1 , 1) , (0 , 1) , (2 , 4) , (5 , 5) , (5 , 6) , (6 , 2) , (10 , 8) } . (a) State the domain and range of R. (b) Is the relation given by R a function? Explain. (c) Is the relation given by R a 1 - 1 function? (d) Is the relation given by R an onto function? 2. Consider two functions f ( x ) = 1 - x and g ( x ) = x 2 - 1 . (a) Find ( f + g )(2) . (b) Determine the domain of ( f + g )( x ) .

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3. Find the values of a and b for a linear function f ( x ) = ax + b given the y -intercept is located at (0 , 4) and x -intercept is located at (8 , 0) . Write down the function. Your solution should not use slope-formula or the point-slope equation. 4. Let f ( x ) = ( x + 1 x 6 0 - x - 1 x > 0 . (a) On a set of labeled axes, graph the piecewise function
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Unformatted text preview: f ( x ) . (b) On what intervals is the graph of f ( x ) increasing or decreasing? 5. Sketch the graph of y = f ( x ) satisfying the following properties: (i) x-intercepts at (-4 , 0) and (1 , 0) (ii) y-intercept at (0 , 1) (iii) passes through the point (3 , 3) (iv) has a vertex point at (-2 ,-2) (v) decreasing on the interval (- ,-2) (vi) increasing on the interval (-2 , ) Bonus (+10 Points): Find the equation of a quadratic function f ( x ) = ax 2 + bx + c if the y-intercept is located at (0 , 4) and the x-intercepts are at (2 , 0) and (1 , 0) ....
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## This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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Q3 - f ( x ) . (b) On what intervals is the graph of f ( x...

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