Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
1234567891011121314151617181920212223242526272829303132
Question 23

A specialized hydraulic piston's displacement DDD (in mm) relative to a benchmark is modeled by the equation:

D(t)=25∣5t+8∣−6,t∈R D(t) = \frac{2}{5}|5t + 8| - 6, \quad t \in \mathbb{R} D(t)=52​∣5t+8∣−6,t∈R

where t t\,t is the time in seconds.

a.

State the coordinates of the vertex, VVV, of the graph of y=D(t)y = D(t)y=D(t).

[2]
b.

Using algebra, determine the set of values of t t\,t for which

D(t)>2−15t D(t) > 2 - \frac{1}{5}t D(t)>2−51​t
[4]
c.

Sketch the graph with equation y=∣D(t)∣y = |D(t)|y=∣D(t)∣, stating the coordinates of the local maximum point and each local minimum point.

[4]
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