IB Maths AI SL 2.4 Key Graph Features Questions

Practise reading intercepts, extrema, ranges and asymptotes, using technology for feasible thresholds and interpreting graph features in applied decisions.

Exam points

Determine intercepts, roots/zeros, maxima, minima, vertices, symmetry, range and asymptotes from a function or graph.
Use technology or graph intersections to find feasible values, thresholds or solutions under domain constraints.
Interpret a key graph feature in an optimisation or modelling context, including units and limiting assumptions.

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Study SL 2.4—Key graph features conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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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 IB Maths AI SL 2.4 Key Graph Features Questions 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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IB Maths AI SL 2.4 Key Graph Features Questions question 1