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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