3.7 Equations that represent functions are often written in function notation. f(x) is used in place of y in function notation. y = mx + b becomes f(x) = mx + b If I want to evaluate for a number, I can plug the number in for x f(#) means to plug the # in for x in order to evaluate. ***can use other letters. For example g(x), h(x),… Evaluate the function y = 3x + 2 for x = -2, 0, and 3 X = -2: X = 0: X = 3: Evaluate the function f(x) = 3x + 2 for x = -2, 0, and 3 X = -2: X = 0: X = 3: Evaluate when x = 4 f(x) = 3x – 2 g(x) = -2x + 7 h(x) = ½x - 5 Given y = 3x + 4, find the value of x so that y = 10 Given f(x) = -2x+10, find the value of x so that f(x) = -6 c. f ( x) 2 x 5; 9 2 g ( x) x 6; 14 3 h( x) 4 x 18; 8 A family of functions is a group of functions with similar characteristics. For instance, linear functions of the form g(x) = mx + b is a family of functions. The most basic form of this equation is f(x) = x. This is called the parent function. 2 g ( x) x 3 pp. 203-204: 3, 7, 11, 15-21 odd, 23, 25, 31, and 33