2024 GaoKao Math | Strictly Increasing Functions Explained | Problem 6 Breakdown

In this video, we delve into Problem 6 from the 2024 GaoKao Math exam, focusing on the intriguing properties of strictly increasing functions. Understanding how to determine the range of a parameter for which a piecewise function remains strictly increasing is crucial for mastering this problem.

Key Insights:
- The fundamental properties of quadratic functions and their influence on the behavior of piecewise functions.
- How to apply conditions for strict monotonicity to piecewise-defined functions.
- Techniques to approach and solve similar problems involving piecewise functions in calculus.

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[Mathematical-Mind]

For instance when a=-1, the vertex of the parabola will have a maximum point of x=1, can you explain how this doesn’t show in the graph at the end?

[nguyenquoc]

Do you have the full translation version of Gao Kao test this year?

[anasharere]

Thank you
But what is the difference between strictly increase and increase

[Rampal_]

Can other countries student give this exam
Pls make video on full detailedinformation about This exam