mavii

MATHEMATICS GRADE 12 INVERSE FUNCTIONS 17 3.1.2 Graph of an inverse relation of a parabola Correct position of the graph in the 2nd and 3rd quadrants. (2) 3.1.3 It does not pass the vertical line test OR It is a many-to-one mapping. Answer OR Answer (2) 3.2.1 x a f 1(x) x a y 25 2 a ...

YES Example A vertical line through the graph cuts it at one point only 1.1 (1) (1) (1) (1) (1) (1) 1.2 1.3 Grade 12 Mathematics Investigation 2023 Page 3 of 9 KZN Department of Education 2 - INVESTIGATING FUNCTIONS AND THEIR INVERSES If a function is called f ( x) then its inverse (only if it’s also a function, i.e. if it passes the vertical ...

GRADE 12 MATHEMATICS MASTER TUTORIAL 3 . FUNCTIONS and INVERSES. HANDED OUT: 1 MARCH 2024 DUE: 12 MARCH 2024 . NAME TEACHER TUTORIAL . PUNCTUALITY 2 LEVEL OF COMPLETION 3 VALIDATION TEST ... so that its inverse is a function. 3.2 Which of the following equations represent a many- to-one relation? x =−6: y =−6: yx =−6: yx

GRADE 12. 2 First term 2015 February - March (Grade 12) Day Date Time Subject Topic Wednesday 18 February 15:00 – 16:00 Mathematics Inverses of functions: Inverses of y=mx+c and y=ax2 16:00 – 17:00 Wiskunde Inverses van functions: Inverses ... 1.1.5 The function and its inverse ...

Learning outcome 2: Functions and algebra Assessment standard 12.2.2 a) Investigate and generate graphs of the inverse relations of functions, in particular the inverse of: y = ax + q y = ax2 y = ax; a > 0 b) Determine which inverses are functions and how the domain of the original function needs to be restricted so that the inverse is also a ...

Gr 12 Inverse Function Investigation (1) - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document is an educational assessment for Grade 12 Mathematics focusing on inverse functions, including linear, quadratic, and exponential functions. It contains questions that require calculations, graphing, and understanding of concepts such as domain, range, and the ...

QUESTION 2 2.1.1 ( )is not a function, there are two different −values for each . A vertical line test fails: Line cuts the graph at more than one point.

Grade 12 – Functions. Aims and outcomes of tutorial: Improve marks and help you achieve 70% or more! ... Inverse Functions – pdf. 5 Log and Exponential Functions – video. 6 Log and Exponential Functions – pdf. 7 Solving Cubic Expressions – video. 8 Solving Cubic Expressions – pdf ...

the domain of the inverse. • The inverse function of a straight line is also a straight line. Vertical and horizontal lines are exceptions. • The inverse of a parabola is not a function. However, we can limit the domain of the parabola so that the inverse of the parabola is a function. • The inverse of the exponential function . f (x) = b ...

Grade 12 Mathematics Inverse Functions Solutions - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document provides exercises and solutions related to functions and inverse functions. It includes questions about determining if relations are functions, evaluating functions, finding domains and ranges, sketching graphs of functions and their inverses, and ...

9. Study the functions and their inverses in question 8. What do you notice about: a) when and where the graphs intersect? b) the domain and range of the function and inverse function. 10. Given that : ; and passes through the point @ A. a) Determine the value of a. ;b) :Find , the inverse of graph of : ;.

KZN Department of Education Grade 12 Mathematics Investigation 2023 Page 3 of 9 We can use a ruler to perform the VERTICAL LINE TEST on a graph to determine whether it is a function or not. Hold a clear plastic ruler parallel to the y – axis, i.e. vertical. Move it from left to right across the graph. The following holds true: If the ruler only ever cuts the graph AT ONE POINT as the ruler ...

February - March (Grade 12) Day Date Time Subject Topic Wednesday 18 February 15:00 – 16:00 Mathematics Inverses of functions: Inverses of y=mx+c and y=ax2 ... In order to ensure that we obtain a function for the inverse of the parabola, we must restrict the domain of the original function (n.b. not the inverse). See the example below: 6 . We ...

This document provides instructions for a grade 12 mathematics investigation on functions and inverses. The investigation consists of five activities over nine pages. It aims to investigate the relationship between functions and their inverses. The first activity recaps the definitions of functions and conditions that determine whether a relation is a function. It includes examples of one-to ...

An inverse function reverses the operation done by a particular function. Whatever a function does, the inverse function undoes it. ... Save as PDF Page ID 187786; Gilbert Strang & Edwin “Jed” Herman; OpenStax ... 12 : 5. Try to figure out the formula for the \(y\)-values. 6. The formula for the \(x\)-values is a little harder. The most ...

WTS 12 FUNCTIONS & INVERSES - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Grade 12 function and inverse

4. If the inverse in question 3 is not a function, restrict the domains in question 2 so that it becomes a function. 5. For each of the graphs in question 2 and 3, draw the graphs and the matching inverse on the same Cartesian plane. 6. Give a brief summary of each these functions you learnt about in grade 11:

Khan Academy

Gr 12 Inverse Function Investigation - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document is a Grade 12 Mathematics assessment focusing on inverse functions, including linear, quadratic, and exponential functions. It contains questions requiring calculations, graph plotting, and analysis of functions and their inverses.