HSC Practice Questions - Working with Functions Set 8

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Original HSC style questions for Australian Curriculum Year 11/Year 12
Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file).

Solutions and Marking Criteria included in each set.

10 questions including a mixture of the following:

*Defining a function

Using f(x) notation
Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions.
Point-gradient formula
Two-point formula
Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation.
Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics.
Direct/Indirect variation
Solve inequalities
Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles
Determine even/odd algebraically
Composite functions
Interpreting and graphing piecewise functions
Absolute value functions (graphing, solving equations)