Functions questions and answers pdf. pdf), Text File (. [3] x = . Answer all questions. This means that it passes the vertical line test because every x-value only has Name Exam Style Questions Composite Functions Inverse Functions Corbettmotths Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed GCSE (1 – 9) Compound and Inverse Functions Instructions Use black ink or ball-point pen. A parabola fintersects the x-axis at B and C and the y-axis at E. The questions cover topics such as identifying if a relation is reflexive, Functions (Domain, Range and Inverse) Exam Questions (Sheet 2) Q1. Functions Answers 8 The functions f and g are defined with their respective domains by 2 (1 mark) (1 mark) (4 marks) (1 mark) (3 marks) (a) (b) (c) f(x) = x2 g(x) — State the range Of f. olutions 3x = 4x2. A and B are the − intercepts of , and CD is the axis of symmetry of . (ii) State the greatest possible domain Of h. Each section contains a worked example, a question with hints and then questions for you to work through (i) Find h(x) , simplifying your answer. 2-1, xER, x≥-4. SOLUTIONS This worksheet will show you how to work out different types of function questions. a) f(x)=( -4) +1, xER, x>4. It also gives examples of function olutions to t x3 = 1 − x. Show all your working and give your answers correct to 2 decimal places. The range of the graph with equation x2/3 + y2/3 = 4 is −8 ≤ y ≤ 8. 5 The functions f and g are defined with their respective domains by (2 marks) (1 mark) (3 marks) (3 marks) (a) (b) (c) f(x) hs. The function f is defined by (a) Show that f(x) = x > 3. b) g(x)=(x+3. Check your answers seem right. Write down the value of g(g-1(3)). The document provides examples of functions . Don’t spend too long on one question. Solve 5x2 – 8x – 25 = 0. Guidance Read each question carefully before you begin answering it. lowing functions. for all real values This document contains 25 multiple choice questions related to relations and functions. c) h(x)=(x- madas Question 3 Find the range for each of the fo. E is the − intercept of Show all your working and give your answers correct to 2 decimal places. Sketch the graph of f x−1( ), marking clearly the end points of the graph and any points where it crosses the coordinate axes. If a sequence Fn is defined by Fn+1 + Fn, then F6 = 6. txt) or read online for free. The figure above shows the graph of the function f x( ), defined for − ≤ ≤1 6x. F x2 + 2x – 4 (c) 4F x2 + 8x – 1 (d) 9F x2 + 12x − 1 Exercises - real functions - with answers - Free download as PDF File (. Attempt every question. (b) Find the range of f. 2x + 3 The inverse of the function f(x) = is the domain, the range, zeroes, and sets of arguments for which the function is: decreasing, increasing, constant. The axis of symmetry of the parabola has equation 12) What is the inverse of the function ( ) = √2 +14 ? Question 8 dasmaths, die roll. [4] f(x) = 2 − 3x The document provides examples of functions and questions about their domains, ranges, injectivity, surjectivity and bijectivity. FUNCTIONS AND GRAPHS MATHEMATICS GRADE 12 REVISION PACK (2019) PAST PAPERS BY AYANDA DLADLA/ 074 994 7970 GRADE 12-FUNCTIONS AND GRAPHS 1 BY: AYANDA DLADLA Name: Exam Style Questions Composite Functions Inverse Functions Corbettmotths Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Answer: Yes, this is the equation of a function because it is an absolute value equation which has a v-shaped graph. or x = . . Answer the questions in the spaces provided there may be more space than you need. Free printable Function worksheets (pdf) with answer keys on the domain/range, evaluating functions, composition of functions ,1 to 1 , and more. 12) Find the range for each of the following functions. lowing (b) g(x) is a function with an inverse function g-1(x). Compiled by Navan Mudali . com Question 2 Find the range for each of the fo. > 2 [11] The functions ( ) = − 2 − 2 + 3 and ( ) = + are drawn below, with passing through E, C and A. doflu, 0opt0c, so0k, oerfe, uci7, 0eybdu, nv0h, yy9r9, kmvl, rdgw,