Methods2024 NHT Exam 1 · Q3Tech-free5 marks

Graph and domain of a logarithmic function

Let $f: D \to \R,\ f(x) = 3\log_e(2-x)$ , where is the domain for .

State the maximal domain for $f(x)$ .

1 mark

Hints, answer checking and worked solutions come with a Season Pass.

Sketch the graph of $y = f(x)$ , labelling the asymptote with its equation and the axial intercepts with their coordinates.

Blank set of x and y axes with origin O, provided for sketching the graph of y = f(x).

3 marks

Hints, answer checking and worked solutions come with a Season Pass.

Find the values of $x$ for which $0 \le f(x) \le 3$ .

1 mark

Hints, answer checking and worked solutions come with a Season Pass.