Exercise | Wiskunde op Tilburg University

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.