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.
02 Hours
110 Marks
Calculator is allowed
IB MATH AI HL, Paper 1, May, 2021, TZ2, Solved Past Paper
Master the 2021 IB May for Paper 1 Mathematics AI HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
An architect is tasked with designing a new bus stop along a road, described by the equation (-x + y = 4), such that it is equidistant from two schools located at points (A(2, 20)) and (B(14, 24)). The challenge is to find the precise position on the road where the bus stop should be placed to ensure it is at the same distance from both schools.
Question 1 [a] [Explanation]
Could you provide the equation for the perpendicular bisector of a line segment denoted as [AB]? Express your answer in the slope-intercept format, which is typically represented as y = mx + c.
This question involves calculating the line that is equidistant to both endpoints of the segment [AB] and intersects it at a right angle. The equation should include the slope (m) of this line and the y-intercept (c).
Video Solution by an IB Examiner - Coming soon
Question 1 [b] [Explanation]
Identify the optimal coordinates for placing a bus stop along a road denoted by (R). The goal is to determine the specific point on (R) that would be most suitable for this purpose.
Video Solution by an IB Examiner - Coming soon
Question 2 [Explained]
Consider the function defined by:
Range: (x) is between (-7) and (7) (inclusive), but
Explain the behavior and constraints of this function within the specified range.
Question 2 [a] [Explanation]
Determine the range of the function ( f ).
In simpler terms, figure out all the possible values that the function ( f ) can output when you substitute different numbers for its variable.
Video Solution by an IB Examiner - Coming soon
Question 2 [b] [Explanation]
To determine the inverse of a given function ( f (x)), you're asked to express the function ( f -1(x)). The function ( f ) itself does not need to be specified, and the scope of the inverse function does not extend to identifying its domain. This inquiry focuses solely on expressing ( f -1) in terms of (x).
Essentially, the task is to derive a formula for ( f -1(x)), which, when applied, would return a value of (x) for a given ( f (x)), completing the functional exchange between ( f ) and its inverse.
Video Solution by an IB Examiner - Coming soon