Functions
Review the permitted syllabus objectives and practice reviewed questions for this CSCA topic.
What to study
- domain, range, monotonicity and parity
- power, exponential, logarithmic and trigonometric functions
- arithmetic and geometric sequences, nth-term formulas and sums
- introductory derivatives: definition, geometric meaning and simple applications
The scope shown here follows the syllabus-derived guardrails used by the CSCAPrep question factory. Related advanced material is not added unless it appears in the defined scope.
Practice this topic
Standard · FunctionsIf f(x) = 2x − 5, what is f⁻¹(x)?Standard · FunctionsIf f(x) = 2x − 5, what is f⁻¹(x)?Standard · FunctionsIn a geometric sequence, the first term is 2 and the common ratio is 3. What is the sum of the first…Standard · FunctionsWhat is the domain of the function f(x) = sqrt(2x - 6) / (x - 5)?Standard · FunctionsSolve for x: log₃(x) + log₃(x - 2) = 1.Easy · FunctionsWhich of the following functions is even?Easy · FunctionsIf log_a 8 = 3, what is the value of a?Easy · FunctionsFor the function f(x) = x^2 - 4x + 3, what is the slope of the tangent line at x = 3?Easy · FunctionsIn an arithmetic sequence, the 5th term is 17 and the 9th term is 33. What is the common difference?Easy · FunctionsWhat is the range of the function f(x) = 3 - 2x^2, where x is a real number?