Functions & Graphs is one of 9 topics in the Grade 10 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.
Sample practice questions
Easy
1. What does f(x) mean in functional notation?
The output of function f when the input is x
f multiplied by x
The derivative of f at x
The inverse of f at x
Answer: The output of function f when the input is x — f(x) is read "f of x" and means the output of the function f for the input value x -- it is not multiplication.
Easy
2. Given f(x)=2x2−3x+1, calculate f(3).
Answer: 10 — f(3) = 2(3)^2-3(3)+1 = 18-9+1 = 10.
Medium
3. For f(x)=x2, complete the table of values for x = -2, -1, 0, 1, 2 by giving the five f(x) values separated by commas.
