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Name ____________________________________________ MTH 1000 Practice Test #1 1. Use the Distance Formula to find the distance between the following points: 5,1 and 2,3 2. Find the center and radius of the circle: x 2 y 2 10 x 4 y 20 0 3. Center: ( , ) Radius: Find the x and y-intercepts for the following: x 2 2x y 3 8 0 x-int: 4. y-int: Find the equation of the line (in y mx b form) that passes through the following points: 4,2 and 8,7 5. Find the equation of the line that passes through the point 10,9 and is perpendicular to the line y 52 x 2 6. Give the domain of the following functions: f x x 5 x 2 x 12 g x 200 40 x 7. Use the functions f x x 2 1 and g x 3x 1 to evaluate the following: f g 3 2 f g f x h f x using the function f x 7 x 1 h 8. Find the Difference Quotient 9. Are the following graphs functions? YES / NO 10. 11. YES / NO Circle the appropriate symmetry type for each function: f x 3x 2 5 x 4 7 EVEN / ODD / NEITHER f x EVEN / ODD / NEITHER x3 x 1 The number of chairs that a factory can produce depends on w, the number of workers, according to the following equation: cw 2w 2 3w Find the average rate of change as the number of workers increases from w 2 to w 5 12. Graph the following: f x x 3 2 13. f x x 1 3 Graph the following piecewise function: f x x x 2 if x 2 f x 1 2 x 3 if x 2 (Hint: It may help to graph the pieces separately first.)