Methods2024 Exam 1 · Q3Tech-free5 marks

Truncus graph and area

Let $g : R \setminus \{-3\} \to R, \, g(x) = \dfrac{1}{(x+3)^2} - 2$ .

On the axes below, sketch the graph of $y = g(x)$ , labelling all asymptotes with their equations and axis intercepts with their coordinates.

Blank set of axes with a grid, x from -5 to 1 and y from -3 to 2, for sketching the graph of y = g(x).

3 marks

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

Determine the area of the region bounded by the line $x = -2$ , the $x$ -axis, the $y$ -axis and the graph of $y = g(x)$ .

2 marks

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