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Please show all work! :) thank you!!! 11. Find a simplified form for the difference quotient of the function f(x) = 2x2 - 3. (2

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Please show all work! :) thank you!!!

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11. Find a simplified form for the difference quotient of the function f(x) = 2x2 - 3. (2 pts.) 12. What are the domain and range of the function whose graph is shown below? (2 pts.) X 13. Find the domain of the function g(x) = . (3 pts.) Vx 2 + x 14. Two people begin walking from the same point. One heads due north at 2 miles per hour, and the other heads due east at 3 miles per hour. Find a function d(t) that represents the distance between the two people as a function of the time (t hours) after they begin to walk. (3 pts.) 15. Determine if the function h(x) = *+x x 4 - 1 is even, odd, or neither. (1 pt.)6. Find the equation of the circle that is shown below. (1 pt.) AY -3 X 7. Find the center and radius of the circle with equation x2 + 12 - 4y = 0. Sketch this circle in the xy-plane. (3 pts.) 8 . Find the equation of the circle that has its center at (1, 2) and that passes through the origin. (2 pts.) 9. Consider the graph of the equation y = 2x'. a. What type of symmetry, if any, does this graph have? (1 pt.) b. What are the x- and y-intercepts of the graph? (1 pt.) 10. Find the area of a square given that the length of each of its sides is - the value of its area. (3 pts.)Lesson 5-Quiz 1 Assignment (32 points) 1. Given the points -2 and 3 on the coordinate line: a. Find the distance between them. (1 pt.) b. Find the midpoint of the line segment which connects them. (1 pt.) 2. Use interval notation to describe all values for x that satisfy -1

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