The student...

Algebra (15%)

- ...calculates and simplifies expressions with more than two terms of fractions with different denominators and numerators containing expressions.
- ...simplifies fractions of powers and roots.
- ...expands and factors expressions.

Equations and inequalities (30%)

- ...solves equations of power, root, logarithmic and exponential functions.
- ...solves inequalities of power, root, logarithmic and exponential functions.

Functions (15%)

- ...determines range and domain of (power, root, rational, exponential, logarithmic) functions and inverse functions.
- ...finds inverse functions.
- ...finds asymptotes.

Differentiation (40%)

- ...uses differentiation rules (sum, product, quotient, chain rule) to calculate derivatives of composite standard (power, root, rational, exponential, logarithmic) functions.
- ...determines the tangent line to a function at a specified point.
- ...analyses functions, finds extreme values and categorizes these.