APPLICATION 7 Sandra took her broken laptop to be repaired The total repair cost includes a fixed cost of $ 3 0 plus $ 1 8 per hour for labour a ) Use function notation to write an equation for this situation Define your variables ( 1 mark ) b ) State a reasonable domain and range for your function Explain your thought process ( 2 marks ) 8 Using your knowledge of transformations and inverse functions, and the parent function f ( x ) x 2 , determine the domain and range of the inverse of the function g ( x ) 1 3 ( x 2 0 ) 2 4 1 Explain your thought process ( 3 marks ) Use the most appropriate method to find the number of zeros for each function Explain your though process a ) y 8 ( x 6 ) ( x 9 ) ( 1 mark ) b ) f ( x ) 2 ( x 4 ) 2 ( 1 mark ) c ) g ( x ) 6 x 2 1 1 x 2 3 ( 1 mark ) The cost, in thousand of dollars, of making x items, in hundreds, is given by C ( x ) 1 2 x 7 5 The revenue function is given by R ( x ) 6 x 2 3 0 Determine the number of items that should be sold to maximize profit ( 3 marks ) Determine the value ( s ) of k such that f ( x ) x 2 2 x k has one zero ( 3 marks ) THINKING 1 2 The point ( 4 , 4 8 2 ) is on the graph of y 6 f ( x 5 ) 4 What is the original point on y f ( x ) , ( 4 marks ) 1 3 Sketch an example of a relation which satisfies all 3 of the following conditions ( 3 marks ) is a function has domain x i n R has range y i n R y 1 2 Explain your thought process Write the equation for a rational function that satisfies all 3 of the following conditions ( 3 marks ) simplifies to 2 x 7 x 3 has only one restriction which is x 3 the denominator is a quadratic expression Explain your thought process An object is thrown up in the air from the top of a building The relationship between time and height can be modelled by a quadratic equation What would each of the following represent ( 4 marks ) a ) the x coordinate of the vertex b ) the y coordinate of the vertex c ) the x intercepts d ) the y intercept COMMUNICATION 1 6 List the transformations that apply to the function y 4 f 1 5 ( x 6 ) 7 Be sure to list them in the correct order and using proper mathematical terminology ( 3 marks ) 1 7 Explain how you would determine if a relation is a function given a list of ordered pairs ( 2 marks ) 1 8 A parabola has a vertex at ( 2 , 3 ) and no zeros What is the direction of opening for the parabola Explain your thought process ( 2 marks ) Show all images Show all images Show all images done loading

Question

APPLICATION 7   Sandra took her broken laptop to be repaired  The total repair cost includes a fixed cost of $ 3 0 plus $ 1 8 per hour for labour  a ) Use function notation to write an equation for this situation  Define your variables  ( 1 mark ) b ) State a reasonable domain and range for your function  Explain your thought process  ( 2 marks ) 8   Using your knowledge of transformations and inverse functions, and the parent function f ( x )   x 2 , determine the domain and range of the inverse of the function g ( x )   1 3   ( x 2 0 ) 2   4 1   Explain your thought process  ( 3 marks ) Use the most appropriate method to find the number of zeros for each function  Explain your though process  a ) y   8 ( x 6 ) ( x   9 ) ( 1 mark ) b ) f ( x )     2 ( x 4 ) 2 ( 1 mark ) c ) g ( x )   6 x 2 1 1 x 2 3 ( 1 mark ) The cost, in thousand of dollars, of making x items, in hundreds, is given by C ( x )     1 2 x   7 5   The revenue function is given by R ( x )     6 x 2 3 0   Determine the number of items that should be sold to maximize profit  ( 3 marks ) Determine the value ( s ) of k such that f ( x )     x 2   2 x k has one zero  ( 3 marks ) THINKING 1 2   The point (   4 , 4 8 2 ) is on the graph of y   6 f     ( x   5 )     4   What is the original point on y   f ( x )   , ( 4 marks ) 1 3   Sketch an example of a relation which satisfies all 3 of the following conditions  ( 3 marks ) is a function has domain   x i n R   has range   y i n R   y 1 2   Explain your thought process Write the equation for a rational function that satisfies all 3 of the following conditions  ( 3 marks ) simplifies to 2 x   7 x   3 has only one restriction which is x 3 the denominator is a quadratic expression Explain your thought process  An object is thrown up in the air from the top of a building  The relationship between time and height can be modelled by a quadratic equation  What would each of the following represent  ( 4 marks ) a ) the x   coordinate of the vertex b ) the y   coordinate of the vertex c ) the x   intercepts d ) the y   intercept COMMUNICATION 1 6   List the transformations that apply to the function y     4 f     1 5 ( x   6 )     7   Be sure to list them in the correct order and using proper mathematical terminology  ( 3 marks ) 1 7   Explain how you would determine if a relation is a function given a list of ordered pairs  ( 2 marks ) 1 8   A parabola has a vertex at ( 2 ,   3 ) and no zeros  What is the direction of opening for the parabola  Explain your thought process  ( 2 marks ) Show all images Show all images Show all images done loading

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APPLICATION 7 . Sandra took her broken laptop to be repaired. The total repair cost includes a fixed cost of $ 3 0 plus $

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1 Understanding Responsive Design Principles

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