What is the vertical asymptote of y = 1/x-2?

Worked solution for TMUA-P1-MM8-018 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MM8-018 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-018 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-018?

No — calculators are banned in the TMUA. TMUA-P1-MM8-018 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM8-018?

TMUA-P1-MM8-018 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-018 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~150s target

Spec: MM8 · No calculator · ~150s

What is the vertical asymptote of

y = \frac{1}{x-2}

Options

$x = 0$
$x = 1$
$x = -2$
$x = 2$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: asymptotes, reciprocal-graphs. Name the trap first, work the stem by hand, then open the solution below.

Show solution

The denominator vanishes at

x = 2

while the numerator is

1

, so

x = 2

is the vertical asymptote and the correct is D. Trap:

x = 0

is the asymptote of

\frac{1}{x}

before translation.

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P1MM8Level 3
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Which statement correctly describes the stationary points of y = x^3 - 3x^2?
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Keep practising

Same topic · same level

P1MM8Level 2

TMUA-P1-MM8-004

How is the graph of y = f(x) + 2 obtained from the graph of y = f(x)?

Graphs of functions

Open TMUA-P1-MM8-004 →

Same trap: asymptotes

P1MM8Level 3

TMUA-P1-MM8-025

What is the horizontal asymptote of y = x+1/x-1?

Graphs of functions

Open TMUA-P1-MM8-025 →

Step up a level

P1MM8Level 3

TMUA-P1-MM8-009

Which statement correctly describes the stationary points of y = x^3 - 3x^2?

Graphs of functions

Open TMUA-P1-MM8-009 →

TMUA-P1-MM8-018 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-018 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions