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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.

01 Hours 30 Minutes

80 Marks

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IB MATH AA SL, Paper 1, May, 2021, TZ1, Solved Past Paper

Master the 2021 IB May for Paper 1 Mathematics AA SL with examiner tailored solutions and comments for TZ1

Question 1 [Explained]

We're looking at the function y = f (x) and how it behaves as x varies from -4 to 6. This function's behavior is depicted through a particular diagram we're examining.

The task is to study this function within the given range of x values and understand the changes in y.

Question 1 [a] [Explanation]

Detail the computed result for the following expression:

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Question 1 [a] [i] [Explanation]

Consider the function denoted by f. What is the value of this function when the input is 2?

This question asks you to evaluate the function f at a particular point, specifically at the input value of 2. It's asking for the output that corresponds to this input within the context of the function's definition.

Question 1 [a] [ii] [Explanation]

Calculate the composition of the function f applied to the function g at the value 2.

You are to find the result of first applying the function g to the number 2 and then using that result as the input for the function f. Essentially, you're performing a function composition, denoted as ( f ∘ g)(2), which means applying g first and f second.

Question 1 [b] [Explanation]

Examine the linear function defined by $(g (x) = \frac{1}{2} (x) + 1)$ within the bounds of (x = -4) to (x = 6). You're requested to present a visual plot of this function's progression on a coordinate plane, capturing how it changes across the defined range of (x).

Engage in plotting the course of this function by calculating and marking the outcomes for (x) values within the mentioned limits. Then, draw a continuous line through these points to illustrate the trajectory of (g(x)).

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Question 2 [Explained]

Consider a planet that's perfectly round, like a ball. This planet's width, measured all the way around from one side to the other through the center, is $(6 \times 10^{4})$ kilometers.