Mathematics 4024 · O Level · Sketching curves

Sketching curves — practice question

The table lists several values of $y = 1 + \frac{2}{x}$, rounded to $2$ decimal places whenever that is necessary.
(a)[1]

Fill in the missing entries in the table.

(b)[2]

Sketch the graph of $y = 1 + \frac{2}{x}$ for $0.5 \leq x \leq 8$.

(c)[3]

The line $L$ intersects the graph of $y = 1 + \frac{2}{x}$ at $x = 2$ and $x = 5$. Find the equation of $L$.

(d)[2]

A line with gradient $-\frac{1}{3}$ meets the graph of $y = 1 + \frac{2}{x}$ at $x = 1$ and at $x = k$. Use a suitable line on your grid to find $k$.

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