A department store is advertising a discount of 20% off any item of clothing. You also...

 

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A department store is advertising a discount of 20% off any item of clothing. You also have a coupon that gives you $10 off any one item priced over $25. You are considering purchasing a pair of pants priced at $40. a) Write a function f(x) that models discounting an item by 20%. b) Write a function g(x) that models applying the $10 off coupon (assuming x > 25.) c) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the discount first and then the coupon. d) How much would the pants cost you if the store applies the discount first and then the coupon? e) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the coupon first and then the discount. f) How much would the pants cost you if the store applies the coupon first and then the discount? |3) Given that f(x) = x has the graph below, draw a sketch of the following. a) h(x)= 3x b) g(x)=x +2 c) k(x)= (x-1)-3 1) Given the function f(x) = x + 5x - 3,express the function in the Standard Form of a quadratic function: f(x) = a(x - h) + k, where (h, k) is the coordinate of the vertex. a) The Standard Form is f(x) = b) The Vertex is located at ( ) What is the Axis of Symmetry? c) Find the x-intercepts. Round each to the nearest tenths place value. x-intercepts are: ( d) Find the y-intercept. e) Graph the function using the information found above. Coordinate is ( ) and ( ) A department store is advertising a discount of 20% off any item of clothing. You also have a coupon that gives you $10 off any one item priced over $25. You are considering purchasing a pair of pants priced at $40. a) Write a function f(x) that models discounting an item by 20%. b) Write a function g(x) that models applying the $10 off coupon (assuming x > 25.) c) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the discount first and then the coupon. d) How much would the pants cost you if the store applies the discount first and then the coupon? e) Use a composition of your two functions from (a) and (b) to model the cost of an item of clothing priced over $25 assuming that the department store applies the coupon first and then the discount. f) How much would the pants cost you if the store applies the coupon first and then the discount? |3) Given that f(x) = x has the graph below, draw a sketch of the following. a) h(x)= 3x b) g(x)=x +2 c) k(x)= (x-1)-3 1) Given the function f(x) = x + 5x - 3,express the function in the Standard Form of a quadratic function: f(x) = a(x - h) + k, where (h, k) is the coordinate of the vertex. a) The Standard Form is f(x) = b) The Vertex is located at ( ) What is the Axis of Symmetry? c) Find the x-intercepts. Round each to the nearest tenths place value. x-intercepts are: ( d) Find the y-intercept. e) Graph the function using the information found above. Coordinate is ( ) and ( )