Zadanie 12e
For a=−3 and b=1: (i) sketch y = f(∣x∣), marking all asymptote equations, its vertical-axis intercept, and all local extrema; (ii) solve f(∣x∣) < f(x).
Comparing functions through inequalities
Solve inequalities by comparing functions algebraically or graphically and state complete valid solution intervals.
Tę umiejętność sprawdza 11 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 11 Otwórz w wyszukiwarce z filtrami
Zadanie 10c
Solve f(x) ≤ 24.
Zadanie 10d
(i) Write an expression for (f∘g)(x). (ii) Solve (f∘g)(x) ≤ 24.
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 8b
Find all x such that h(x) ≤ 0.
Zadanie 11f
Solve f(x)>x.
Zadanie 11f
Solve f(x)>x.
Zadanie 3c
Hence solve 0<f(x)<3.
Zadanie 3d
Solve 0 < (3∣x∣ − 2)/(∣x∣ + 2) < 3.
Zadanie 6b
Solve f(x)≥g(x).
Zadanie 8b
Determine k for which one root is positive and the other negative.