SECTION 2.3: LINEAR FUNCTIONS AND SLOPE-INTERCEPT FORM MACC.912.F-IF.B.6: Calculate and interpret!the average rate of change!of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. MACC.912.F-IF.C.7a: Graph linear and quadratic functions and show intercepts, maxima, and minima. 4 Chapter 1 Linear Functions 1.1 Lesson WWhat You Will Learnhat You Will Learn Identify families of functions. Describe transformations of parent functions. Describe combinations of transformations. Identifying Function Families Functions that belong to the same family share key characteristics. The parent function is the most basic function in ...

Domains of Power Functions If p is a non-zero integer, then the domain of the power function f(x) = kx p consists of all real numbers. For rational exponents p, x p is always defined for positive x, but we cannot extract an even root of a negative number. Thus x (1/4) is not defined for any negative real numbers. The Inverse of a Function. The inverse of a function is the function which reverses the effect of the original function. For example the inverse of y = 2x is y = ½ x . To find the inverse of a function, swap the x"s and y"s and make y the subject of the formula. Example. Find the inverse of f(x) = 2x + 1 Let y = f(x), therefore y = 2x + 1