Back to 6.7 Exponential and Logarithmic Models

6.7 Exercise 34

Avg difficulty 2.5

Use the logistic growth model $f \left(x\right) = \frac{150}{1 + 8 e^{- 2 x}} .$

Determine whether the data from the table could best be represented as a function that is linear, exponential, or logarithmic. Then write a formula for a model that represents the data.

$x$	$f \left(x\right)$
–2	0.694
–1	0.833
0	1
1	1.2
2	1.44
3	1.728
4	2.074
5	2.488

OpenStax Algebra and Trigonometry 2e, 6.7 Exponential and Logarithmic Models, exercise 34

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.