For each of the following exponential equations with given sketch, sketch the inverse function and determine the equation of the inverse function.

Use the Property of Inverse Functions to find toe inverse function of f(x) = x + 7. f^-1 (x) = -x - 7 f^-1 (x) = 1/(x+7) f^-1 (x) = -x + 7 f^-1 (x) = x-7 f^-1 (x) = x+7 A function f is given f(x) - x^3 - 1 Sketch the graph of f. Use the graph of f to sketch the graph of f^-1. Find f^-1.

Let f be the base 10 exponential function, f(x) = 10'. Graph the exponential function y = 10' by plotting points. Discuss whether or not f(x) = 10' has an inverse function. How did you determine this? Using the definition of inverse function, complete the table below for the function y = f^-1(x). Then plot the points to make a graph. In part (a) y = 10', so we could say, "10 to the power of x equals y." Write a similar statement about the inverse relationship between x and y in part (d). How would you write this as an equation?

Simplify. Find the inverse of the following functions, show all work: f(x) = {(-3, 5), (1, -1), (3, 9), (7, 11)} f(x) = -1/7x - 14 f(x) = -2 3x-1 - 5, x 1/3 Consider the following graph: State the domain and range of the above graph. Is the above graph a function? Give your reason. What is the domain and range of the inverse of the above graph, f1(x). (Hint: sketch the inverse function) Is f_1(x) a function? Explain. Evaluate f(2), f(-2), f-1(0) and f-1(2).