Xinmin Secondary School
                              Sec 3E A Maths Worksheet
                Topic: Graphs of Exponentia...
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Exp&log graphs assignment

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Exp&log graphs assignment

  1. 1. Xinmin Secondary School Sec 3E A Maths Worksheet Topic: Graphs of Exponential and Logarithmic Functions Name: ( ) Class: Date: Note: 1. Take note of the following when you sketch logarithmic & exponential graphs:  shape  asymptote  intercept(s) 2. Did you remember to label all your graphs clearly? 3. Are your graphs big enough (at least 5 single-lined spaces)? Instruction: Attempt all the questions on foolscap papers. x 1. (a) Sketch the graph of y = 2e 2 + 1 . (b) State the coordinates of the point where the graph meets the y-axis. 2. (a) Sketch the graph of y = ln (2x – 1)−1. (b) State the coordinates of the point where the graph meets the x-axis. 3. (a) Sketch the graph of y = ln (x + 3). (b) Insert on your sketch, the additional graph required to obtain a graphical solution of 1 1− x x+3 =e 2 . 4. (a) Sketch the graph of y = 2ln x. (b) Insert on your sketch, the additional graph required to obtain a graphical solution of x2 = e4 – x. 5. (a) Sketch the graph of y = 2 – e3x. (b) Insert on your sketch, the additional graph required to obtain a graphical solution of x = ln 3 5 − x . Explain how the solution may be obtained. x 6. (a) Sketch the graph of y = e1− 2 . (b) Insert an appropriate straight line on your graph to obtain an approximate solution to the equation x + ln (1 + x)2 = 2. 3E/AM/WS/Exp&LogGraphs

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