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IB Math Studies II

IB Math Studies II . Functions – Mappings; Domain and Range Examples. Example 1 . Find the domain and range of each graph. Example 2. Each of the following sets represents the range of one of the functions of the graphs. (a) (b) (c) (d) . Example 3. Example 4.

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IB Math Studies II

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  1. IB Math Studies II Functions – Mappings; Domain and Range Examples

  2. Example 1 Find the domain and range of each graph.

  3. Example 2 Each of the following sets represents the range of one of the functions of the graphs. (a) (b) (c) (d)

  4. Example 3

  5. Example 4 • Represent the function y = 2x2 – 5, where X {–2, –1, 0, 1, 2, 3} by a mapping diagram. • (b) List the elements of the domain of this function. • (c) List the elements of the range of this function.

  6. Example 5 • The diagram shows a function f, mapping members of set A to members of set B. • (i) Using set notation, write down all members of the domain of f. • (ii) Using set notation, write down all members of the range of f. • (iii) Write down the equation of the function f. • The equation of a function g is g(x) = x2 +1. The domain of g is . • (b) Write down the range of g.

  7. Example 6 • The mapping below is of the form f : xa × 2x + b and maps the elements of x to elements of y. • (a) (i) List the elements in the domain of f. • (ii) List the elements in the range of f. • Find a and b. • (c) Find the value of g.

  8. Example 7 • f : x 3x − 5 is a mapping from the set S to the set T as shown below. • (a) Find the values of p and q. • A function g is such that g (x) = • (i) State the domain of the function g(x). • (ii) State the range of the function g(x

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