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Cambridge IGCSE Mathematics practice

exam practice - Create value tables and draw, identify, and analyze graphs for functions such as y = x + x - 4, y = 2x + n (where n can be -2, -1, 0, 1, 2, 3), y = ax (with a being a rational number), and y = ab + c (where b is a positive integer). Additionally, solve related equations graphically, such as determining where a line intersects a curve and finding roots using graphical methods. Also, draw and interpret graphs that depict exponential growth and decay scenarios. - Graphs of functions

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Attempt questionGraphs of functions revisionRevise the key idea

At a glance

2

Paper

4

Marks

Topic

Graphs of functions

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

Solving equations graphically

Description

Graphical solution of y = x^2 and y = 2x + 3

The graphs of y = x^2 (a curve) and y = 2x + 3 (a straight line) are drawn on the same axes.

  1. a

    Determine Find the x-coordinates of the points where the line y = 2x + 3 intersects the curve y = x^2.

    Aim for approximately 4 distinct marking points.

    [4]

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Maths method check

  • Topic focus: Graphs of functions.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Graphs of functions

Paper 2Core or Extended Mathematics6 marks

Description

Graph of y = 2x + n

Consider the family of linear functions y = 2x + n where n can be -2, -1, 0, 1, 2, or 3.

xy when n=1y when n=3
-1
0
1
2
  1. a

    Calculate Complete the value table for y = 2x + 1 and y = 2x + 3 for x = -1, 0, 1, 2.

    Aim for approximately 4 distinct marking points.

    [4]
  2. b

    Plot Plot the graphs of y = 2x + 1 and y = 2x + 3 on the same axes using the completed tables.

    Aim for approximately 2 distinct marking points.

    [2]