IB Maths AI SL 2.4 Key graph features Question Bank

Practise IB Maths AI SL 2.4 by finding intercepts, ranges and extrema and using graph features in applied decisions.

Exam points

Identify intercepts, a maximum or minimum and the relevant domain from a graph or function.
Use a graph to determine a range, feasible value or threshold in context.
Explain how a key graph feature answers the stated optimisation or modelling question.

[Maximum number: 3]

The Scheveningen Ferris wheel's lowest point is 8 m above sea level, and its highest point is 45 m above sea level.

Figure for Question SL 2.4—Key graph features question 1 — IB Maths AI SL

Use the model to find the values of t when the height of this pod is 33 m above sea level for $0 \leq t \leq 15$ .

Since the Ferris wheel opened, it has been operating for 3000 days, and each day it rotates nonstop for 8 hours.

attempt to equate 33 with h(t) OR sketch graph of curve and line
$h(t)(=18.5 \sin (24 t)+26.5)=33$ $t=0.857(0.857083 \ldots)$ and $t=6.64(6.64291 \ldots)$ (minutes)

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SL 2.4—Key graph features question 1