CCSS HSF-IF.C.7.c Worksheets
Year 11 · Mathematical Methods - Functions and Graphs
Graph cubic and quartic functions, finding the zeros from a factorisation and showing end behaviour as x grows large in each direction (ACARA Mathematical Methods ACMMM017-019).
Below are free printable worksheets that support HSF-IF.C.7.c. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.
Teaching guide
What students learn
Graph cubic and quartic functions, finding the zeros from a factorisation and showing end behaviour as x grows large in each direction (ACARA Mathematical Methods ACMMM017-019).
Worked example
Expand f(x) = (x + 2)(x - 2)(x - 3) into the form ax3 + bx2 + cx + d.
Answer: f(x) = - 3x^2 - 4x + 12
Why: Multiply the three factors: roots -2, 2, 3 give - (-2+2+3) + ... = - 3x^2 - 4x + 12.
Generated and checked in code, so it is correct.