10. The cost in dollars, C(d), to rent a houseboat during July and August from a certain company is given by C(d)=2d +4,
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10. The cost in dollars, C(d), to rent a houseboat during July and August from a certain company is given by C(d)=2d +4, where d is the number of rental days. a) Determine the inverse of this equation. /3 b) Sketch both the function and its inverse. Label them. _13 /3 c) State the domain and the range of the function 12 11. Refer to the graph of f(x) pictured in the grid below. Use a straight edge to neatly sketch and label each of the following on the grid (can also use colour to differentiate). a) y=f(x - 5) +3 b) y = 2f (*) c) y= f(-x) 74 Page 3 of 5 16 Part C. Thinking and Inquiry 12. Sketch the following function and state the domain and range y=-2./2(x+3) – 4. Use mapping notation. Show the table of values for the parent function and the transformed function. 1 13. The base function f(x) = is reflected in the x-axis, stretched horizontally by a factor of 2, compressed x 1 vertically by a factor of , and translated 3 units to the left and 5 units down. Write the equation of this transformed function g(x). /3
10. The cost in dollars, C(d), to rent a houseboat during July and August from a certain company is given by C(d)=2d +4, where d is the number of rental days. a) Determine the inverse of this equation. /3 b) Sketch both the function and its inverse. Label them. _13 /3 c) State the domain and the range of the function 12 11. Refer to the graph of f(x) pictured in the grid below. Use a straight edge to neatly sketch and label each of the following on the grid (can also use colour to differentiate). a) y=f(x - 5) +3 b) y = 2f (*) c) y= f(-x) 74 Page 3 of 5 16 Part C. Thinking and Inquiry 12. Sketch the following function and state the domain and range y=-2./2(x+3) – 4. Use mapping notation. Show the table of values for the parent function and the transformed function. 1 13. The base function f(x) = is reflected in the x-axis, stretched horizontally by a factor of 2, compressed x 1 vertically by a factor of , and translated 3 units to the left and 5 units down. Write the equation of this transformed function g(x). /3