## Math's 12, Exercise 1.1

This page consists of solved questions of exercise 1.1, Mathematics grade 12.

Question No | Statement of problem | |||
---|---|---|---|---|

Question 1 | Identify the dependent and independent variables for the following problems.
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Questions 2 | Evaluate the following functions for the indicated independent variables. See solution | |||

Question No 3 | The circumference of a circle is given by C(r) = 2πr, where r is the length of the radius (see graph). Find: See solution | |||

Question No 4 | The area of a circle is given by A(r) = πr^{2} where r is the length of the radius (see the graph). Find:See solution | |||

Question No 5 | The total surface area of a cube is given by the function f(s) = 6s^{2}, where s is the length of the side of the cube.See solution | |||

Question No 6 | The measure of angle θ in radians is given by θ = f(s, r) = s/r, where s is the length of the arc determined by ∠θ and r is the length of the radius of the circle. See solution | |||

Question No 7 | If , then find out See solution | |||

Question No 8 | If , then find out See solution | |||

Question No 9 | Indicate wheter each table specifies a function y= f(x): See solution | |||

Question No 10 | Indicate wheter each graph specifies a function y = f(x): See solution | |||

Question No 11 | Determine the domain and range of the following functions: See solution | |||

Question No 12 | Find the composite functions f[g(x)] and g[f(x)] of the following functions: See solution | |||

Question No 13 | Determine the inverse functions of each of the following functions: See solution | |||

Question No 14 | Graph each of the following absolute functions: See solution |

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