1. Suppose two linear functions f (x) = 2x -3 and g(x) = 2x + 3 are added to create a new function (f + 9)(x). Compare and contrast the slope, x - intercept, and y - intercept of the sum function with the slope and intercepts of the addend functions. a) Write a polynomial function for (f + 9) (x). Graph (f + 9)(x). b) Graph f(x) and g(x). c) What is the slope of f (x) g(x) (f + g) (x) d) Find the y - intercept of f (x) g(x) (f + g)(x) e) Find the x - intercept of f (x). g(x) (f + 9)(x)2. Suppose two linear functions f(x) = 4x - 8 and g (x) = -3x + 3 are added to create a new function (f + 9)(x). Compare and contrast the slope, x - intercept, and y - intercept of the sum function with the slope and intercepts of the addend functions. a) Write a polynomial function for (f + g) (x). Graph (f + 9)(x). b) Graph f(x) and g(x). c) What is the slope of f (x) g(x) (f + g)(x). d) Find the y - intercept of f (x) g(x) (f + g)(x) e) Find the x - intercept of f (x) g(x) (f + g) (x)3. Suppose two linear functions f (x) = 2x - 3 and g (x) = -4x + 2 are multiplied to cre a new function (f . g)(x). Compare and contrast the slope, x - intercept, and y - interce of the sum function with the slope and intercepts of the factor functions. a) Write a polynomial function for (f . 9) (x). Graph (f . g) (x). b) Graph f (x) and g (x). c) Find the y - intercept of f (x) g(x) (f . g) (x) d) Find the x - intercept of f (x) g(x) (f . g) (x)4. Suppose two linear functions / (x) = 1.5x and g(x ) = -x + 1.5 are multiplied to creat new function (f . g) (x). Compare and contrast the slope, x - intercept, and y - intercept the sum function with the slope and intercepts of the factor functions. a) Write a polynomial function for (f . 9) (x). Graph (f . g)(x). b) Graph f (x) and g(x). c) Find the y - intercept of f (x) g(x) (f . g)(x). d) Find the x - intercept of f (x) g(x) (f . g) (x)5. Given two linear functions f (x) = 3x +9 and g(x) = x -5 Compare and contrast the slope, x - intercept, and y - intercept of the sum and product functions. a) Write a polynomial function for (f + g)(x). Graph (f + 9)(x). b) Write a polynomial function for (f . g) (x). Graph (f - g) (x). b) Graph f (x) and g(x). c) What is the slope of f (x)_ g(x) (f+ g)(x) d) Find the y - intercept of f (x) g (x) (f + g)(x) (f - g) (x) e) Find the x - intercept of f (x) g(x) (f + g) (x) (f . g) (x)\f11 (m + 2) [(m2 + 3m - 6) + (m2 - 2m + 4) ] = 12 Find the white area of following composite figure 7x + 5 x+1 area = 2x - 1 2x + 3 3x + 2 5x + 3 2x2 + 3x - 2 13 Find the white area of the rectangle. 2x- + 2x - 2 area = 4x + 1 3x + 1