Unit 2 - Functions and Equations

Unit Objectives
​Prior Knowledge:
  • Find composite and inverse functions
  • Solve quadratics using factorization or quadratic formula​
By the end of this unit students should be able to:
  • Understand the concepts of; a function, domain, range, image value, one-to-one, many-to-one [2.1]
  • Identify Odd and Even functions. [2.1]
  • Find and graph inverse functions including domain restrictions and identifying self-inverse functions. [2.1]
  • Graph functions identifying key features; turning points, axis intercepts, asymptotes, domain and range. [2.2]
  • Graph absolute value of a function, function of the absolute value and reciprocal of a function. [2.2]
  • Transform functions and their graphs. [2.3]
  • Sketch and identify rational functions with any linear numerator and denominator. [2.4]
  • Know and use the factor and remainder theorems. [2.5]
  • Solve polynomial equations using algebra and technology. [2.6]
  • Complete the square of a quadratic and identify vertex and axis of symmetry. [2.6]
  • Use the discriminant to determine the nature of roots. [2.6]
  • Solve problems using the sum and product of roots of a polynomial. [2.6]
  • Solve inequalities of one function greater (or equal to) another function using graphical and algebraic methods for polynomials up to degree 3. [2.7]
  • Solve unfamiliar equations using technology. [2.6]
Lesson Resources​
16. Sums and Products of Roots of Polynomials
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