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  3. Chapter 5: Optimization
  4. Optimization functions of one variable
  5. Minimum/maximum
  6. Exercise

Exercise

Determine all the maximum locations of the function $f(x)$ of which the graphs is shown in the figure below.


$x=0$ and $x>1$
$x=0$ and $x\geq 1$
$x=0$
$x=3$ and $x=2$
Determine all the maximum locations of the function $f(x)$ of which the graphs is shown in the figure below.


Antwoord 1 correct
Correct
Antwoord 2 optie
$x=0$ and $x\geq 1$
Antwoord 2 correct
Fout
Antwoord 3 optie
$x=0$
Antwoord 3 correct
Fout
Antwoord 4 optie
$x=3$ and $x=2$
Antwoord 4 correct
Fout
Antwoord 1 optie
$x=0$ and $x>1$
Antwoord 1 feedback
Correct: $f(x)\leq f(0)$ for all $x$ in the neighborhood of $0$ and for $c>1$ it holds that $f(x)\leq f(c)$ for all $x$ in the neighborhood of $c$.

Go on.
Antwoord 2 feedback
Wrong: $f(x)>f(1)$, with $x$ a little bit less than $1$.

See Minimum/maximum.
Antwoord 3 feedback
Wrong: For every $x$ in the neighborhood of $x=3$ it also holds that $f(x)\leq f(3)$.

Try again.
Antwoord 4 feedback
Wrong: We are looking for maximum locations, not their values.

See Minimum/maximum.