Mathematics Semester 1 Exam: Functions, Graphs, and Polynomials

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5 Questions

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

Polynomials

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

False

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.

Circle

Match the following topics with their corresponding review sets:

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

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

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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