Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216
Question 214

The net harvesting efficiency EEE of a solar panel array over time ttt (in years) is modeled by the function:

E(t)=3−t−2t+4+t+702t2+5t−12,t>4 E(t) = 3 - \frac{t - 2}{t + 4} + \frac{t + 70}{2t^2 + 5t - 12}, \quad t > 4 E(t)=3−t+4t−2​+2t2+5t−12t+70​,t>4
a.

Show that

E(t)=at+bct+d,t>4 E(t) = \frac{at + b}{ct + d}, \quad t > 4 E(t)=ct+dat+b​,t>4

where a,b,ca, b, ca,b,c and ddd are integers to be found.

[4]
b.

Determine an expression for E−1(x)E^{-1}(x)E−1(x).

[3]
c.

Find the domain of E−1E^{-1}E−1.

[3]
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