P08B Curve Sketching: Challenge

Time Allowed

150 min

No. of Qs

Language

English

Learning Objectives

Understand and identify key features for sketching a graph: domain, intercepts, symmetry, asymptotes, and end behaviour.
Use the first derivative to find stationary points and determine intervals where a function is increasing or decreasing.
Use the second derivative to help determine the nature of stationary points and to understand concavity (qualitative understanding of points of inflection).
Apply a systematic procedure to sketch graphs of various functions, including polynomials, rational functions, and those involving standard transformations.
Interpret and sketch graphs involving common functions (linear, quadratic, cubic, reciprocal, exponential, logarithmic, trigonometric, modulus).