SL 2.4—Key graph features

Syllabus
First assessment 2021
Objective
Level
SL

Read key features as evidence about a function

Read key features as evidence about a function.

Intercepts, roots, extrema, symmetry, vertices and asymptotes answer different questions about a graph.

Worked example
For y=(x−2)²−9, the vertex is (2,−9) and roots are x=−1,5.

Worked example
Which feature gives break-even inputs? x-intercepts/roots.

Common boundary
A minimum point is not automatically an x-intercept.