Mathematics Semester 1 Exam: Functions, Graphs, and Polynomials
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Questions and Answers

What is the topic that includes 'Quadratic Functions' and 'Zero, Roots and Factor'?

  • Functions and Graphs
  • Trigonometry
  • Composite Functions
  • Polynomials (correct)

We use discriminants to find the nature of the root of a cubic equation.

False (B)

What is the name of the function that includes the concept of reciprocal functions?

Graphing Rational Functions

To find the equation of a circle, we use the concept of _______________ equations.

<p>Circle</p> Signup and view all the answers

Match the following topics with their corresponding review sets:

<p>Functions and Graphs = Review Set 1A, Review Set 1B, Review Set 3A, Review Set 3B Polynomials = Review Set 2A, Review Set 2B, Review Set 4A, Review Set 4B Trigonometry = Not mentioned</p> Signup and view all the answers

Study Notes

Stage-1 Methods Semester-1 Exam

Week 10 Topics

Functions and Graphs

  • Graphing rational functions
  • Reciprocal functions (1C)
  • Composite functions (3D)
  • Function and relation (3A)
  • Function notation (3B)
  • Circle equations (3G)

Polynomials

  • Quadratic functions (2D)
  • Zero, roots, and factor (2B)
  • Using discriminants to find the nature of roots
  • Factorising cubic polynomials (4D)
  • Solving cubic equations
  • Finding cubic equation from graph (revise for exam)

Trigonometry

  • Review trigonometry (Review Set 2A Q6, Review Set 2B Q3, 6, 7, 8, Review Set 4A Q6, 10, Review Set 4B Q10(a, b), 12)

Review Sets

Functions and Graphs

  • Review Set 1A Q6
  • Review Set 1B Q7
  • Review Set 3A Q2, 6, 13
  • Review Set 3B Q1, 5, 8a, 13

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Description

This quiz covers topics from functions and graphs, including rational functions, composite functions, and circle equations, as well as polynomial functions, quadratic functions, and solving cubic equations.

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