Title: MC questions
Course: Demonstrating STACK (v4.4.7)

a) Two straight lines \(g\) and \(h\) are given by \(g:\ x+y=1\) and \(h:\ x-y=1\). What applies to the positional relationship of these lines?

b) Now two straight lines \(\tilde g\) and \(\tilde h\) are given by \(\tilde g:\ t\,x+y=1,\quad \tilde h:\ x+t\,y=1\) with a real parameter \(t\).

Determine the parameter \(t\) for the following cases.

The lines are identical for \(t=\)

The lines are parallel for \(t=\)

The lines are perpendicular to each other for \(t=\)

The graph of a function \(f\) is given below.

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Which of the following diagrams could show the graph of the derivative function of \(f\)?

The graphs of several even functions are given below.

Map the correct functional equation to the graphs.

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Lef \(f(x)=\frac{p(x)}{q(x)}\) be a rational function with two polynomials \(p(x)\) and \(q(x)\).

Which of the following statements is/are true?

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* A function is called a proper rational function, if the degree \(n_p\) of the numerator is less than the degree \(n_q\) of the denominator.
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Which of the following functions is/are odd?