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These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

 

01 Minutes

 

80 Marks

 

Calculator NOT allowed

IB MATH AA SL, Paper 1, May, 2022, TZ2, Solved Past Paper

Master the 2022 IB May for Paper 1 Mathematics AA SL with examiner tailored solutions and comments for TZ2

Question 1 [Explained]

The table provided presents values of (x)) and (g(x)) for different inputs of (x).

 

Both functions ) and (g) are characterized as one-to-one functions, meaning that each input corresponds uniquely to one output and vice versa, ensuring there are no repetitions in the range for any value in their respective domains.

x

-2

0

3

4

f (x)

8

4

0

-3

g (x)

-5

-2

4

0

Question 1 [a] [Explanation]

Can you calculate the value of g(0)? Here, g represents a mathematical function, and we are interested in finding its output when its input is zero.

Video Solution by an IB Examiner

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Question 1 [b] [Explanation]

To clarify the request, you're interested in finding the value of a composite function at a specific point. Here, you need to evaluate the result of applying the function (g) first and then the function ( f ) to the outcome of (g), specifically at the value zero. This process is represented by ((f∘g)(0)), indicating the application of ( f ) after (g) when the input is zero.

 

This is a standard approach in mathematics to understand how one function's output, starting from a given input, transforms through another function.

Video Solution by an IB Examiner

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