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Worked Example 8

Worked Example 8

TGM Original Questions
Free

State the maximal range of values of \(x\) for which the graph of \(y=\mathrm{f}\left( x \right)\) is

  1. strictly decreasing,
  2. decreasing,
  3. concave upwards,
  4. concave downwards.

Video Solution:

Default solution

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Answer:(a) \(\{x \in \mathbb{R}: -3 < x < -1 \text{ or}\hspace{0.5em} -1 < x < 0\}\); (b) \(\{x \in \mathbb{R}: -3 \leq x < -1 \text{ or}\hspace{0.5em} -1 < x \leq 0\}\); (c) \(\{x \in \mathbb{R}: -1 < x < 1\}\); (d) \(\{x \in \mathbb{R}: x < -1 \text{ or}\hspace{0.5em} x > 1\}\)

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