Ex1 Which mapping represents a function? Explain 5 10 15 20 3 5 5 10 15 20 3 5

Ex2 Does x = 2y2 … Define y as a function of x? Define x as a function of y? Neither? Both? Explain.

Ex 3 Find the domain of each function. , where A(s) is the area of an equilateral triangle with side of length s.

Ex 4 Find the range of f(x) = 10 – x2.

Ex 5 Sketch the graph of a function that has domain [-5,-1]  (2,4] and range [-4,-1]  [1,).

Ex 6 Graph each of the following Ex 6 Graph each of the following. Which of the following are discontinuous at x = 2? Are any of the discontinuities removable? a) f(x) = x + 3 x – 2 b) g(x) = (x + 3)(x – 2) c) h(x) = x2 – 4

Ex 7 Label each graph (or parts) as increasing, decreasing, or constant. 1 1 1 1 1

Ex 8 Tell the intervals on which each function is increasing and the intervals on which it is decreasing. f(x) = (x - 2)2 g(x) = x2 x2 - 1

Ex 9 Identify each of these functions as bounded below, bounded above, or bounded. w(x) = -3x2 + 4 p(x) = x x2+1

Ex 10 Find and label any extrema for the function f(x) = x3 – 2x2 + 5x – 2.

Ex 11 Tell whether each of the following functions is even, odd, or neither. f(x) = x2 – 3 g(x) = x2 – 2x – 2 h(x) = x3 4 – x2

Ex 12 Identify any vertical or horizontal asymptotes by viewing each graph and observing its end behavior.