University of Maryland University College Math 107 - College Algebra Quiz 3 Free Response, Multiple Choice, and Yes/No Problems, 6 Points Each. You may write answers after problems (you may use Microsoft Equation). If you prefer handwriting, prepare you answer sheet, scan it, and prepare a file in PDF format. 1. Use the intercepts to sketch the graph of the equation x 2 y 4 . 5 -5 5 -5 2. Write the equation in standard form for the line passing through (4, 2), m = 0. A. x = 4 B. x+y = 6 C. y = 2 D. y+2 = 4 3. Find the slope-intercept equation of the line that has the given characteristics. 19 Slope: and y-intercept (0,-4) 15 2 4. Find the zero of the linear function. f ( x) 4 x 5 5. Find the slope, if it exists, of the line containing the pair of points (2,5) and (-4,5). 6. Determine whether the function f ( x) 3x8 2 x 2 is even, odd, or neither. Even 7. Describe how the graph of h( x) Odd Neither 1 1 4 can be obtained from the graph of f ( x ) . x x A. Shift the graph 4 units up. B. Shift the graph 4 units right. C. Shift the graph 4 units left. D. Shift the graph 4 units down. 1 3 x 5 can be obtained from the graph of f ( x) x3 . 3 A. Stretch vertically and shift up 5 units. B. Shrink vertically and shift down 5 units. C. Stretch vertically and shift down 5 units. D. Shrink vertically and shift up 5 units. 8. Describe how the graph of g ( x) 9. For the pair of functions, determine algebraically if g ( x) f ( x) . f ( x) 9 x6 39 x 4 6 x 17, g ( x) 9 x6 39 x 4 6 x 17 Does g ( x) f ( x) ? Yes No 10. Determine whether the function f ( x) x 18 x 2 is even, odd, or neither even or odd. A. The function is even B. The function is odd. C. The function is neither even nor odd. 3 11. Fill in the blank with the correct term. A function f is said to be ______________ on an open interval I if, for all a and b in that interval, a < b implies f (a) f (b) . 12. Graph the function f ( x) x 2 2 5 -5 5 -5 13. Graph a line for an equation y 5 2 x . y x 4 14. Find the equation for the function if the graph of the initial function f ( x) 3 x is shifted four units to the left and five units down. 3 A. g ( x) x 5 4 3 B. g ( x) x 4 5 3 C. g ( x) x 4 5 3 D. g ( x) x 4 5 E. g ( x) 3 x 5 4 15. Using the graph of the function y ( x 2)2 find intervals of decreasing and increasing. 16. The number of visits to public libraries increased from 1.2 billion in 1992 to 1.7 billion in 1997. Find the average rate of change in the number of public library visits from 1992 to 1997