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  2. For business economics
  3. Chapter 1: Functions of one variable
  4. Power functions and polynomial functions
  5. Power functions
  6. Exercise

Exercise

Which of the following functions is a power function?
$a(x)=x^{-3}$

$b(x)=x^5$

$c(x)=\sqrt{x}$

$d(x)=x^{-\frac{1}{3}}$

$e(x)=x^{\pi}$

$f(x)=x^{-\sqrt{2}}$
$a(x)$, $b(x)$, $c(x)$, $d(x)$
None of the functions is a power function.
$a(x)$, $b(x)$
They are all power functions.
Which of the following functions is a power function?
$a(x)=x^{-3}$

$b(x)=x^5$

$c(x)=\sqrt{x}$

$d(x)=x^{-\frac{1}{3}}$

$e(x)=x^{\pi}$

$f(x)=x^{-\sqrt{2}}$
Antwoord 1 correct
Correct
Antwoord 2 optie
None of the functions is a power function.
Antwoord 2 correct
Fout
Antwoord 3 optie
$a(x)$, $b(x)$
Antwoord 3 correct
Fout
Antwoord 4 optie
They are all power functions.
Antwoord 4 correct
Fout
Antwoord 1 optie
$a(x)$, $b(x)$, $c(x)$, $d(x)$
Antwoord 1 feedback
Correct: $\pi$ and $-\sqrt{2}$ cannot be written as $\frac{m}{n}$, with $m$ and $n$ integer.

Go on.
Antwoord 2 feedback
Wrong: $\sqrt{x}=x^{\frac{1}{2}}$.

See Power functions.
Antwoord 3 feedback
Wrong: $\sqrt{x}=x^{\frac{1}{2}}$.

See Power functions.
Antwoord 4 feedback
Wrong: $-\sqrt{2}$ cannot be written as $\frac{m}{n}$, with $m$ and $n$ integer.

Try again.