Why isn't the answer to TMUA-P1-MM8-010 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-010 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-010?

No — calculators are banned in the TMUA. TMUA-P1-MM8-010 is set for a no-calculator target of about 240 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM8-010?

TMUA-P1-MM8-010 is Paper P1 · Graphs of functions (specification code MM8), level 3. Drill more of the same topic from this page.

TMUA-P1-MM8-010 — Paper P1 · Graphs of functions · Level 3

P1MM8Level 3~240s target

Spec: MM8 · No calculator · ~240s

Which of the following statements about the curve

y = 2^x - 3

is FALSE?

Options

the line $y = -3$ is an asymptote
it passes through $(0, -2)$
it is increasing for all $x$
it meets the $x$ -axis at $x = \log_2 3$
it passes through the origin

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: exponential-features, false-statement. Name the trap first, work the stem by hand, then open the solution below.

Show solution

y = 2^x - 3

equals

-2

x = 0

, grows without bound, and crosses

y = 0

when

2^x = 3

— but it never passes through

(0, 0)

. Trap:

x = \log_2 3

looks suspiciously technical, yet it is exactly where

2^x = 3

Keep practising

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Keep practising

Same topic · same 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-MM8-010 — Paper P1 · Graphs of functions · Level 3

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-010 — Paper P1 · Graphs of functions · Level 3

Options

Keep practising

Master Graphs of functions