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HW 2-4 FUNCTION REVIEW Name: ____________________ 1) Let f(x) 4x 3 , complete the table x f(x) -1 0 Period: _____ 1 2 3 2) Identify the functions below. State their domain and range. a. f(x) 2 x 3 ____________________ D:__________________ R:________________ b. f(x) 2 x ____________________ D:__________________ R:________________ c. g(x) x 2 2x 8 ____________________ D:__________________ R:________________ 3) What is the range of f(x) (x 4)2 7 ? (1) y 4 (HINT: put in calculator) (2) y 7 4) a. Let g(x) = x2 – 5x. Find g(-2). (3) y 4 (4) y 7 b. Let h(x) = 3x + 1 Find x when h(x) = 10 5) The statement f(-2) = 7 implies which of the following to be true? (1) Both –2 and 7 are elements in the range of this function. (2) The coordinate point (7, -2) would appear on the graph of this function. (3) 7 is in the domain and –2 is in the range. (4) The coordinate point (-2, 7) would appear on the graph of this function. 6) Given: {(2, 4), (1, -3), (-5, 9), (1, 4)} Complete the table below. Input Output Is this relation a function? Find f(-5) If f(x) = -3 find x 7) 8) Which of the following is not a function? 2x y 5 (1) (2) x 2 y 2 25 (3) y x2 6 (4) y 3x Use the graph of f(x) below to answer the questions below y a. Domain: b. Range: c. Find f(-4) = x d. For what value(s) of x does f(x) = 3? e. Is the graph a function? Explain. f. Is the graph a 1-1 function? Explain 9) Draw an example of a graph for each function stated below. Quadratic Function Linear Function Exponential Function 10) Which of the following is a function but is not a one-to-one function? x y x y x y x y -1 2 8 1 2 3 1 4 6 3 2 3 2 7 5 7 8 2 6 5 4 -2 3 -7 9 8 1 8 1 -9 1 2 11) If h(x) 3x 3 5x 4 , find h(-4)