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Graphs of Exponential and Logarithmic Functions

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Assignment 3: Graphs of Exponential and Logarithmic Functions

Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer.
y = 3x
y = log3x

Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response.
1. f(x)=7x
2. f(x)=4x - 3
3. f(x)=(1/5)x
4. f(x)= log3x

1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions

2. Form each of the following:
? A linear equation in one variable
? A linear equation in two variables
? A quadratic equation
? A polynomial of three terms
? An exponential function
? A logarithmic function
QUESTION

For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.

Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
1. f(x) = 5x - 3
2. f(x) = x2 - 3x + 2
3. f(x) = 2x3 + 7x2 - x - 1
4. f(x) = 10x
5. f(x) = ln x

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Sandhya Sharma, MSc
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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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