## Math's 12, Exercise 1.1

Question NoStatement of problem
Question 1

Identify the dependent and independent variables for the following problems.

 (a) P = 64d (b) F(C) = 9/5 C + 32 (c) C(F) = 5/9 (F – 32)

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Questions 2Evaluate the following functions for the indicated independent variables.
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Question No 3The circumference of a circle is given by C(r) = 2πr, where r is the length of the radius (see graph). Find:
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Question No 4The area of a circle is given by A(r) = πr2 where r is the length of the radius (see the graph). Find:
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Question No 5The total surface area of a cube is given by the function f(s) = 6s2, where s is the length of the side of the cube.
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Question No 6The 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.
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Question No 7If  , then find out
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Question No 8If , then find out
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Question No 9Indicate wheter each table specifies a function y= f(x):
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Question No 10Indicate wheter each graph specifies a function y = f(x):
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Question No 11Determine the domain and range of the following functions:
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Question No 12Find the composite functions f[g(x)] and g[f(x)] of the following functions:
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Question No 13Determine the inverse functions of each of the following functions:
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Question No 14Graph each of the following absolute functions:
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