Transcribed Image Text: Q5/ Sketch the following function f(x) 2 1 x3 x* + 15 – – Using the following steps: 1. Find the intervals

Academic Writing Advanced Maths Transcribed Image Text: Q5/ Sketch the following function f(x) 2 1 x3 x* + 15 – – Using the following steps: 1. Find the intervals

Advanced Maths

Transcribed Image Text: Q5/ Sketch the following function f(x) 2 1 x3 x* + 15 – – Using the following steps: 1. Find the intervals

Transcribed Image Text: Q5/ Sketch the following function
f(x)
2
1
x3
x* + 15
– –
Using the following steps:
1. Find the intervals on which f(x) is increasing and the intervals on which f(x) is
decreasing.
2. Does f(x) have local maximum and local minimum points?
3. Find where the graph of f (x) is concave up and concave down.
4. Find the inflection points.
5. Based on the above points, sketch the f(x) by specifying some points on the graph, such as
local maximum and local minimum points, point of inflection, and intercepts.

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