Functions: Exponential
Gr 11

The Grade 11 Exponential Functions module builds on the foundational exponential work introduced in Grade 10, guiding learners towards a deeper understanding of exponential growth, decay, and transformation. This chapter focuses on interpreting exponential graphs, understanding how parameters influence their shape, and applying these concepts to both mathematical and real-world contexts.

Learners explore the general form of the exponential function, y=abx+qy = ab^{x} + qy=abx+q, examining the effects of the base bbb, the vertical shift qqq, and the coefficient aaa. The lessons cover identifying and interpreting horizontal asymptotes, determining intercepts, sketching exponential graphs accurately, and comparing growth and decay functions. Students also learn how to solve problems involving exponential models, including population growth, depreciation, and compound interest scenarios.

By the end of this module, learners will be able to interpret and sketch exponential graphs with confidence, describe how parameter changes affect the function, and apply exponential models effectively in mathematical and real-life situations—preparing them for more advanced function work and financial mathematics in the senior grades.