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Math 3: EOC Unit 4 Test 1) f(x) = -(2x+1)? (x - 2) and g(x) is represented on the graph a. What is the difference between the zero with the greatest value of f(x) and the zero with the greatest value of g(x)? b. Which function has the smallest relative minimum? c. Which function has the largest value at x = + == ? 2) Two objects (A: TABLE] and (B: Graph] 16 are thrown off a building at the same time. For both functions, t represents seconds and the height is represented in feet. 12 The function's date of the first object is given by this table 10 hit 0 15 1 18 a. Which 2.3 12 object was 1.75 thrown from the 4.5 greater height? Explain you answer.b. Which object hit the ground first? c. Which object fell at a faster rate (in ft/sec)? Explain your answer. 3) Complete the following tables for the given functions. State which are inverses and explain your answer. Ax) = =x X 1 2 5 B fix g(x) = 2x X 1 2 3 4 E(x] h(x) = 4x X 1 2 3 4 h(x) j(x) = 2x X 1 2 4 16 j(x] 4) Given the Surface area of a sphere, S = 4my-a. Create a Table for possible values of the radius. Then Graph. x (r) y (S) -5 -1 0 5 b. State any restrictions as to give its domain c. Solve for the inverse d. Create the table of its inverse. S e. State its domain 5) Which of the following have inverses that are "Functions"? Hint: there is a test you can use (opposite of functions) 6) Which of the following equations have inverses that are function? You may answer yes or no for eacha. f(x) = x3 b. f(x) = (x+5): c. f(x) = 2x d. f(x) = 5x + 2 7) Find the inverse of f(x) = 3x + 1 . How does fi(x) relate to f(x)? 8) Find the inverse function of f(x) = = Given the answers below, state the end behaviors for each polynomial A. As x- - 00, y- - c0 and as x-+00, y-+00 B. As x- - 00, y-co and as x-+00, y - 00 C. As x- - c0, y+co and as x-+00, y-+00 D. As x- - 00, y- - co and as x+00, y- - 00 9. f(x) = - 5x 1 + 11x - 3 9. 10. f(x) = (x - 6)13(2x + 3) 10