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.

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Presentation transcript:

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.

 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.

 pp : 3, 7, 11, odd, 23, 25, 31, and 33