Can You Find the Maximum Height?| Domain & Range | MYP 5 Extended Maths|Real-Life Quadratic Problem|
Amresh Devraj
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Can You Find the Maximum Height?| Domain & Range | MYP 5 Extended Maths|Real-Life Quadratic Problem|
16 просмотров · 12 дн. назад
Amresh Devraj
29 подписчиков
16 просмотров · 12 дн. назад
How high does the cable car really travel? 🚡🏔️ Can you find its Domain, Range and Maximum Height?
In this MYP 5 Extended Mathematics solution, we solve a real-life quadratic modelling problem involving a cable car travelling up a mountain.
The height is modelled by:
h(t) = −2t² + 16t, where 0 ≤ t ≤ 8
In this video, we carefully determine:
✅ The domain from the real-life time restriction
✅ The range of the height function
✅ The maximum height using the vertex
✅ The time at which the cable car reaches its maximum height
✅ What the mathematical result actually means in context
🎯 This is particularly useful for MYP 5 Extended Maths, IB Mathematics preparation, quadratic functions, mathematical modelling, and domain & range practice.
Challenge yourself first:
Pause the video and try to find the maximum height before watching the solution. 🧠
If you're preparing for MYP 5 / IB Mathematics, subscribe to Amresh Devraj – Making Maths Simple for more challenging, real-life mathematics problems and step-by-step solutions.
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