Graphs of Power Functions (y=ax^n)
Mathematics · Secondary 3 · Functions and Graphs · Semester 1

Graphs of Power Functions (y=ax^n)

Exploring the characteristics and graphical representation of power functions, including y=ax^3 and y=ax^n for simple integer values of n.

MOE Syllabus OutcomesMOE: Numbers and Algebra - S3MOE: Functions and Graphs - S3

About This Topic

Exploring the characteristics and graphical representation of power functions, including y=ax^3 and y=ax^n for simple integer values of n.

Key Questions

  1. Compare the general shape of y=ax^3 to quadratic and reciprocal graphs.
  2. Predict how the value of 'n' in y=ax^n affects the shape and symmetry of the graph.
  3. Analyze how the leading coefficient 'a' affects the orientation and steepness of power function graphs.

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education
Synthesized by Flip Education from Lyman's Think-Pair-Share collaborative-discussion routine (1981)