During this lesson, you will be investigating how to add functions together, and the properties that result from the combination of two or more functions. For each of the following nd the increasing and decreasing intervals and x and y intercepts. Then, find the indicated combinations of functions and find the increasing and decreasing intervals and x and y intercepts for these functions as well. (15 marks -Application) 1. If f(x)= -2x+4 and g(x)=6x find f+g, fg, and fg. 2. If f(x) = 3x2 and g(x) = x 5 find f+g, f-g, and fg. 3. If \")0 = -3X2 + X and g(x)=5x g(x):5 ,nd f+g, fg, and fg_ 4. Looking back at the increasing and decreasing intervals for each of the functions, how do they relate? Can you determine if a combination will be increasing or decreasing from the original function? How? (3 marks communication, 2 marks thinking) 5. Looking back at the intercepts of each of the functions, how do they relate? Can you determine the intercepts of a combination from the original functions? How? (3 marks communication, 2 marks thinking)