|Diagram 1. Whole Question|
|Diagram 2. Part (i) of Question|
|Diagram 3. Graph of f|
|Diagram 4. Part (ii) of Question|
Range of g Í Domain of f-1
Domain of f-1 = (-¥, 2 ln 2 – 2]
|Diagram 5. Range of g|
The two-step method:
Step 1. Find the range of the first function.
Step 2. Transfer this range to the x-axis of the graph of the second
function and map every point therein over to the y-axis.
|Diagram 6. The Two-step Method|
|Diagram 7. Using Intersection on the GC|
|Diagram 8. Part (iii) of Question|
f is an increasing function means
whenever a > b, f(a) > f(b)
f is an decreasing function means
whenever a > b, f(a) < f(b)
To solve an inequality means to find all the possible values of x such that when you substitute each value into the inequality, the inequality becomes a true statement.
concepts (which most are weak in). From experience with many cohorts of students, the
JC teachers know what concepts students are weak in and they like to set questions that
exploit the chinks in students armours.
function is invertible.
inequalities. You can recognise a decreasing function from the downward
y = -1.