Zadanie 1a
Write down f(0).
- Materiał graficzny
Linear-over-linear rational functions
Determine the domain, intercepts and asymptotes of reciprocal and linear-over-linear functions and sketch their graphs.
Tę umiejętność sprawdza 16 zadań wzorowanych na arkuszach IB z lat 2022–2025.
Zadania sprawdzające tę umiejętność: 16 Otwórz w wyszukiwarce z filtrami
Zadanie 1b
Write down the equation of the horizontal asymptote of the graph of f.
Zadanie 3a
Find A and B.
Zadanie 3b
Describe a sequence of transformations taking y = 1/x to y = f(x).
Zadanie 5a
State the equation of the horizontal asymptote of f.
Zadanie 5b
(i) For m > 0, state the number of real solutions of f(x) = g(x). (ii) Find m for which there is exactly one real solution. (iii) Find all m for which there are two distinct solutions and both are nonnegative.
Zadanie 10a
Sketch y=f(x), labelling every axis intercept and all asymptotes.
Zadanie 10b
State the range of f.
Zadanie 1a
Find the zero of f.
Zadanie 1b
State (i) the vertical asymptote; (ii) the horizontal asymptote.
Zadanie 2a
State the equations of (i) the vertical asymptote; (ii) the horizontal asymptote.
Zadanie 2b
Find (i) the y-intercept; (ii) the x-intercept.
Zadanie 2c
Sketch f, marking the asymptotes and intercepts.
Zadanie 3a
State (i) the vertical asymptote and (ii) the horizontal asymptote.
Zadanie 3b
Sketch y=f(x), indicating its asymptotes and axis intercepts.
Zadanie 3c
Hence solve 0<f(x)<3.