Grade 12 · Theory
Interpreting function graphs
Functions and inverses · about 3 min
Turning point, intercepts and axis of symmetry.1 MIN READ
2 study sections · pause after each one and recall the key ideaGrade 12 graph questions combine several functions and test interpretation more than plotting.
Key points- Points of intersection: set the two functions equal and solve.
- f(x) > g(x) means the graph of f is ABOVE the graph of g — read it off the sketch.
- The distance between two graphs at a value of x is f(x) − g(x).
- Maximum vertical distance is found by differentiating that difference.
- Point of intersection — where two graphs meet.
EXAM TIP
mark intersection points and intercepts on your sketch — most interpretation answers can then be read directly.