Why isn't the answer to TMUA-P1-MM8-020 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-020 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-020?

No — calculators are banned in the TMUA. TMUA-P1-MM8-020 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-MM8-020?

TMUA-P1-MM8-020 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-020 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~150s target

Spec: MM8 · No calculator · ~150s

Where does

y = |x| - 2

meet the

x

-axis?

Options

$x = 2$ only
$x = -2$ only
$x = 2$ and $x = -2$
It never meets the $x$ -axis

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: modulus-graphs, x-intercepts. Name the trap first, work the stem by hand, then open the solution below.

Show solution

|x| - 2 = 0

gives

|x| = 2

, so

x = 2

and

x = -2

and the correct is C. Trap:

x = 2

only forgets the left branch of the V.

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: x-intercepts
P1MM8Level 1
TMUA-P1-MM8-013
Where does y = (x-1)(x-5) cross the x -axis?
Graphs of functions
Open TMUA-P1-MM8-013 →
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 →

Browse more

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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: x-intercepts

P1MM8Level 1

TMUA-P1-MM8-013

Where does y = (x-1)(x-5) cross the x -axis?

Graphs of functions

Open TMUA-P1-MM8-013 →

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-MM8-020 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-020 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions