We have learnt in E-Maths that power functions are equations of the form
y = axn
where n is any real constant number.
However, the E-Math syllabus only covers integer powers. In Additional Math, we will look at the treatment of non-integer powers and this can be further classified into 3 cases: (i) n > 1, (ii) 0 < n < 1, and (iii) n < 0.
Explore!
Use the applet below to observe the shape of power function graphs. Observe the shape for these 3 cases: (i) n > 1, (ii) 0 < n < 1, and (iii) n < 0.