Matura sierpień 2018 zadanie 33 Ze zbioru A={−3,−2,−1,1,2,3} losujemy liczbę a, natomiast ze zbioru

http://akademia-matematyki.edu.pl/ From the set A={−3,−2,−1,1,2,3} we draw a number a, and from the set B={−1,0,1,2} we draw a number b. These numbers are, respectively, the slope and the constant term of the linear function f(x)=ax+b. Calculate the probability that the resulting function f is increasing and has a positive zero. Source: Educational Office. Collection of problems for high schools and technical schools. Marcin Kurczab, Elżbieta Kurczab, Elżbieta Świda. Mathematics 1 Art. 29. Right to Quotation It is permitted to quote, in works constituting a self-contained whole, fragments of published works, as well as published works of art, photographs, or small works in their entirety, to the extent justified by the purposes of the quotation, such as explanation, polemic, critical or scientific analysis, teaching, or the rights of the creative genre.