Skip to content

Course home

Sign up

Functions and Graphs

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242
Question 51
a.

Sketch the graph with equation

y=∣x−4∣ y = |x - 4| y=∣x−4∣

stating the coordinates where the graph meets the coordinate axis.

[2]
b.

Find the values of x x\,x which satisfy ∣x−4∣<8|x - 4| < 8∣x−4∣<8

[2]
c.

Find the values of x x\,x which satisfy

x−4=x2+2 x - 4 = \frac{x}{2} + 2 x−4=2x​+2

and

−(x−4)=x2+2 -(x - 4) = \frac{x}{2} + 2 −(x−4)=2x​+2
[2]
d.

Find the values of x x\,x which satisfy ∣x−4∣<x2+2\displaystyle |x - 4| < \frac{x}{2} + 2∣x−4∣<2x​+2

[2]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank