05 Functions

# 05 Functions - y x 1 2 – 1 1 2 – 1 5 FUNCTIONS 1 The...

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Unformatted text preview: y x 1 2 – 1 1 2 – 1 5. FUNCTIONS 1. The diagram shows the graph of a function y = ƒ ( x ). Sketch the graph of y = ƒ -1 ( x ), the inverse function. VET Calculus 29 5. Functions 2. Let ƒ be defined by ƒ ( x ) = (3 – 2 x ) –1/2 + 6. Find: (a) [2 marks] The domain of ƒ . __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[3 marks] The range of ƒ . __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (c) [3 marks] A formula for ƒ -1 , the inverse function. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 30 5. Functions VET Calculus 31 5. Functions 3. Let ƒ ( x ) = x + 2. Suppose that another function g is such that g ( ƒ ( x )) = 3 x 2 + 12 x + 5. Find g and verify that the chain rule holds for differentiating g ( ƒ ( x )). __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________...
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05 Functions - y x 1 2 – 1 1 2 – 1 5 FUNCTIONS 1 The...

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