Green Bridge Learning Resource For Function Notation

Overview

A function is a rule that assigns each input to exactly one output. Function notation lets you describe that rule precisely, evaluate it for any value, and combine or reverse functions in a single compact expression. This topic underpins coordinate geometry, calculus readiness and many Higher-tier exam questions.

You will learn to write functions in both f(x) and mapping notations, identify the domain and range of a function, build composite functions by feeding one function into another, and find the algebraic inverse that reverses a function's effect.

Lesson Evaluation

Congratulations on completing the lesson on Function Notation. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

If f(x) = 2x + 5, what is f(3)? A) 8 B) 11 C) 6 D) 10 Answer: B
Which notation correctly represents a function mapping? A) f(x) -> 3x B) f : x -> 3x C) x = f(3x) D) f(3x) = x Answer: B
What value must be excluded from the domain of f(x) = 1/(x - 5)? A) x = 0 B) x = 1 C) x = 5 D) x = -5 Answer: C
If f(x) = x + 4 and g(x) = 2x, what is fg(3)? A) 14 B) 10 C) 7 D) 12 Answer: B
If f(x) = 4x - 1, what is f inverse of 7? A) 27 B) 2 C) 3 D) 1.5 Answer: B