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secondary 4 | A Maths
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Georgia Jansen
Georgia Jansen

secondary 4 chevron_right A Maths chevron_right Singapore

Pls include explanations if u can especially for last step before u find coordinates

Date Posted: 1 month ago
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Eric Nicholas K
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1706 answers (Tutor Details)
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This gets difficult to explain on paper, if you are stuck with my explanations, feel free to write your thoughts here.
Eric Nicholas K
Eric Nicholas K
1 month ago
Note that the sketch highly depends on the stationary points and the nature.

Since the inflection is (0, 5) and the MINIMUM point is (1, 4), the graph will never cut the x-axis.

Since there are only two stationary points, the curve will never ever go down again after x = 1.

For a positive x^4 graph, the graph starts out going down.
Eric Nicholas K
Eric Nicholas K
1 month ago
For points of inflection, the graph will never turn the other way. It’s like your 1.6 km or 2.4 km run. If you are tired, you slow down and stop. Do you run back towards the starting line? No; you stop there and then continue running in the same direction.

Inflection points work in a similar way.