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Consider the function 2. 1 3 x f (x) 5.1 Write down the equations of the asymptotes of f. (2) 5.2 Calculate the intercepts of the graph of f with the axes. (3) 5.3 Sketch the graph of f on DIAGRAM SHEET 1. (3) 5.4 Write down the range of y = f(x). (1) 5.5 Describe, in words, the transformation of f to g if 2. 1 3 x g(x) (2) [11]

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

In term one the presenters will revise Inverse Function and in term 2 the Log graph as the inverse of ... In the grade 12 examination Inverse Functions and graphs will be 35 marks of the + 150 marks of Paper 1. In term Differential C3, alculus with specific focus on the Cubic graphis done in the th 3 Mathematics Telematics Session. This will be ...

Learn how to find the inverse of a linear, quadratic, exponential and other functions, and how to determine whether they are functions. See examples, graphs, equations and activities with solutions.

– expressing the new equation in function notation. If we represent the function f and the inverse function f −1 graphically, the two graphs are reflected about the line y = x. The domain of the function is equal to the range of the inverse. The range of the function is equal to the domain of the inverse. •

A. INVERSE FUNCTIONS The term inverse mean s: reflection across the line ( kwv right-hand rule) Swop x and y and hence make y be the subject of the formula The notation for th e inverse of a function is For the linear : Determine the inverse of each of the following; 1. 2. 3. 4.

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 ...

Emphasize the fact that the inverse of an exponential function is also a function and that the graph of this inverse function is called a logarithmic function. Make sure your learners know how to determine the domain and range of functions and their inverses. Logarithms need not be studied in too much detail.

MATHEMATICS GRADE 12 INVERSE FUNCTIONS FUNCTIONS AND INVERSE FUNCTIONS A FUNCTION is a relationship or a rule between the input (x-values/domain) ... B Graph logarithmic functions. See Notes Below. VOCABULARY Asymptote: A line or curve that describes the end behavior of the graph. ... Functions-Handoutnonotes.Pdf.

MATHEMATICS GRADE 12 INVERSE FUNCTIONS 7 Sketch the graphs of ( ) and ( ) √ on the same set of axes. Both and intersect at two points. The line is the axis of symmetry. Domain Range ( ) ( ) From the sketch above, the domain and range of ( ) have interchanged forming range and domain respectively of ( ) But ( ), the inverse of ( ), is NOT a function because according to the vertical line test ...

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 ...

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 ...

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1) Use the definition of inverse functions to determine if a function is an inverse of another. 2) Find the inverse of a function. Warm-up review 1. Sketch the graph of yx log 2. x-int: y-int: Domain: Range: Asymptote: 2. On the same grid, graph y 2x. x-int: y-int: Domain: Range: Asymptote: x y x y 480/81 Day 13 Notes

The inverse of the function is f x x( ) 7= − f x x−1( ) 7.= + Since the inverse of a function undoes (or reverses) the function, recall that the domain and range of a function and its inverse are interchanged. Therefore, we can find the inverse of a function by interchanging the

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 ...

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.

Inverse Trigonometric Functions Inverse Function If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are said to be inverse of each other i.e., g = f-1 IF y = f(x), then x = f-1(y) Inverse Trigonometric Functions If y = sin X-1, then x = sin-1 y, similarly for other trigonometric functions. This is ...

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; ... 12: 5 : 2: 2 : 5: 12 : 5. Try to figure out the formula for the \(y\)-values. 6. The formula for the \(x\)-values is a little harder. The ...