Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216
Question 120

The temperature TTT (in ∘C^{\circ}\text{C}∘C) of a chemical reaction at time t t\,t minutes is modeled by a continuous piecewise linear function T=f(t)T = f(t)T=f(t). The graph of T=f(t)T = f(t)T=f(t) is described as follows:

  • For t≤−2t \le -2t≤−2, the temperature is constant at T=−3T = -3T=−3.
  • For −2≤t≤4-2 \le t \le 4−2≤t≤4, the temperature increases linearly from (−2,−3)(-2, -3)(−2,−3) through (0,1)(0, 1)(0,1) to (4,9)(4, 9)(4,9).
  • For t≥4t \ge 4t≥4, the temperature remains constant at T=9T = 9T=9.
a.

Sketch the graph of y=f(−t)y = f(-t)y=f(−t).

[2]
b.

Sketch the graph of y=2f(t)−5y = 2f(t) - 5y=2f(t)−5.

[2]
c.

Sketch the graph of the derivative y=f′(t)y = f'(t)y=f′(t).

[2]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank