GB-24-03-001 · Reciprocal graphs

A curve has equation

y=\frac{13}{x}

(a) Find y when x = 4.

(b) Write down the equations of its two asymptotes.

Part (a) Reciprocal Graphs (y = a/x) Application of related method — Booklet p. 88

Method

1) Substitute x into y = c/x

2) The curve approaches but never touches the axes: asymptotes are x = 0 and y = 0

Worked Example (GB-24-03-001 · Part (a))

Find y when x = 4.

\frac{13}{4}

Ans =

\frac{13}{4}

Part (b) Reciprocal Graphs (y = a/x) Application of related method — Booklet p. 88

Method

1) Substitute x into y = c/x

2) The curve approaches but never touches the axes: asymptotes are x = 0 and y = 0

Worked Example (GB-24-03-001 · Part (b))

Write down the equations of its two asymptotes.

x = 0 and y = 0.

Ans =

x=0

and

y=0