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3. Consider the function f(x) = 4 × 30.2x. a) Complete this table of values (rounding to 2dp if needed), then sketch the function. 2 3 -3 -2 -1 f(x) b)* Compute the logarithm (base 10) of each of these values of f (x), and hence sketch the function on a log-linear scale. [Hint: this should be a straight line] c)* Find the gradient and the vertical intercept of your line from part b).

3. Consider the function f(x) = 4 × 30.2x. a) Complete this table of values (rounding to 2dp if needed), then sketch the function. 2 3 -3 -2 -1 f(x) b)* Compute the logarithm (base 10) of each of these values of f (x), and hence sketch the function on a log-linear scale. [Hint: this should be a straight line] c)* Find the gradient and the vertical intercept of your line from part b).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f(x) = 4 × 30.2x. a) Complete this table of values (rounding to 2dp if needed), then sketch the function. -3 -2 -1 1 2 3 f(x) b)* Compute the logarithm (base 10) of each of these values of f (x), and hence sketch the function on a log-linear scale. [Hint: this should be a straight line] c)* Find the gradient and the vertical intercept of your line from part b). d)* What is the relationship between your answer to part c) and the formula for f(x)? 3.
Transcribed Image Text:Consider the function f(x) = 4 × 30.2x. a) Complete this table of values (rounding to 2dp if needed), then sketch the function. -3 -2 -1 1 2 3 f(x) b)* Compute the logarithm (base 10) of each of these values of f (x), and hence sketch the function on a log-linear scale. [Hint: this should be a straight line] c)* Find the gradient and the vertical intercept of your line from part b). d)* What is the relationship between your answer to part c) and the formula for f(x)? 3.
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