Exercise 4 | Wiskunde op Tilburg University

Determine the point of intersection of the graphs of the functions

$f(x)=x+5$ and

$g(x)=x+3$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$0$

Antwoord 2 correct

Fout

Antwoord 3 optie

$(0,5)$

Antwoord 3 correct

Fout

Antwoord 4 optie

$(0,3)$

Antwoord 4 correct

Fout

Antwoord 1 optie

There is no point of intersection.

Antwoord 1 feedback

Correct: The graphs of the functions are parallel and do not intersect. This follows from the fact that we cannot find an

$x$ such that

$\begin{align} f(x) = g(x) & \Leftrightarrow x+5 = x+3\\ & \Leftrightarrow 5=3 \end{align}$
Clearly, there does not exist an

$x$ such that the final equation is met, and hence, no

$x$ such that

$f(x)=g(x)$ .

Go on.

Antwoord 2 feedback

Wrong: A point of intersection consists of an

$x$ - and a

$y$ -coordinate.

See point of intersection.

Antwoord 3 feedback

Wrong:

$f(0)=5$ and

$g(0)=3$ .

Try again.

Antwoord 4 feedback

Wrong:

$f(0)=5$ and

$g(0)=3$ .

Try again.