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Cambridge IGCSE Mathematics practice

exam practice - Create value tables and draw, identify, and understand graphs for functions in the following formats: • ax + b • ± x² + ax + b • (x ≠ 0) x, where a and b are whole number constants. Additionally, solve related equations using graphical methods, such as determining where a line intersects with a curve and finding and interpreting roots graphically. - Graphs of functions

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Attempt questionGraphs of functions revisionRevise the key idea

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2

Paper

2

Marks

Topic

Graphs of functions

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Graphing functions and solving equations.

Description

Graph of a Function

Consider the function f(x) = 2x + 3. Create a value table for x values -2, -1, 0, 1, and 2.

xf(x)
-2-1
-11
03
15
27
  1. a

    Calculate Complete the value table for the function f(x) = 2x + 3.

    Aim for approximately 2 distinct marking points.

    [2]

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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 Mathematics4 marks

Description

Intersection of Graphs

Given the functions g(x) = x² - 4 and h(x) = 2x, find the points where these graphs intersect.

  1. a

    Determine Find the points of intersection of the graphs g(x) and h(x).

    Aim for approximately 4 distinct marking points.

    [4]