Math 107 Quiz 3 Name _____________________________________________ This quiz is worth 40 points. Each problem is worth 5 points. This quiz is open book and open notes, and there is no time limit, as long as you submit it by the deadline. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. Please show your work if appropriate. At the end of the quiz, please sign and date the statement that you received no help on the exam. Without the signed statement you will receive a zero. When you have completed the quiz, please submit it in your Assignment Folder. 1. Determine analytically if the following functions are even, odd, or neither. a. f(x) = 5x 3 - 2x b. f(x) = x 2 + 3x - 2 2. Suppose (1, -2) is on the graph of y = f(x). Find a point on the graph of the transformed function y = f(x + 5). 3. Let f(x) = x . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations. (1) shift left 3 units (2) vertical stretch by a factor of 2 (3) reflect across the x-axis 4. Find the slope-intercept form of the line which passes through the points P(-1,0) and Q(-4,6). 5. A plumber charges $80 for a service call plus $30 per hour. a. Find a linear function that represents the total daily charges C, in dollars, as a function of the time t, in hours, spent at a given location. b. If the total charge was $140, how many hours did he work? 6. Find the equation of the line passing through the point (-3, 5) and perpendicular to the 1 line y = x - 7. 2 7. Find the equation of a line parallel to x = 7 and passing through the point (2, -5). 8. Find the average rate of change of the function f(x) = x 2 + 5x + 1 over the interval [-2, 1]. Please type or sign your name, and date the following: I have received no help from anyone except the teacher on this quiz. Name: Date