IB Maths AI SL AI 2.1 Functions and graphs questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1 Paper 2

Difficulty

Easy Medium Hard

Question 1

Paper 1Easy6 marks

The upper edge of an entrance arch is modelled by $y=-0.4(x-5)^2+10$ where $x$ is the horizontal distance in metres from the left end of the arch and $y$ is the height in metres. The model is valid for $0\leq x\leq10$

Use graphing technology for each part. Give coordinates in metres.

(a)

State the coordinates of the maximum point of the graph.

[2]

(b)

Determine the coordinates of the $x$ -intercepts of the graph.

[2]

(c)

A horizontal crossbar is placed at a height of $6$ metres. Determine the coordinates where it meets the arch. Give your answers to two decimal places.

[2]

The best questions are still waiting

Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.

Unlock all questions Compare Student and Student Plus