1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3 4 -1 O -1- a. Identify all points x where the global maximum value occurs. b. Identify all points x where the global minimum value occurs. c. Identify all points x where local maximum values occur. d. Identify all points x where local minimum values occur. e. Identify all critical points x where the derivative exists. f. Identify all critical points x where the derivative does not exist. g. Identify two points x where the derivative is negative. h. Identify two points x where the derivative is positive. 5 6 7

Find the domain and range of the given function algebraically. Verify your answer using a graph. h(x) = Vx - 23 Domain: O (-*, ) O (-0, -23] [0, ) (-0, 0] [23, 0) Range: O (-0, 0) [0, 0) O [23, 0) (-00, -23] (-0, -23)

2. What rule can you use to determine, from the graph of a relation, whether the relation is a function? Graph each relation and determine which are functions. a) {(-2, 1), (1, 1), (0, 0), d) x² + y² = 1 (1, – 1), (1, – 2), (2, – 2)} b) y = 4 – 3x 1 e) у c) y = (x – 2)² + 4 f) y = Vx

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