Xinmin Secondary SchoolSec 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.

1. (a) Sketch the graph of .

(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

.

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 . Explain how the solution may be obtained.

6. (a) Sketch the graph of .

(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