Brought to you by: https://StudyForce.com

Still stuck in math? Visit https://StudyForce.com/index.php?boar... to start asking questions.

In a semilogarithmic graph, one axis has a logarithmic scale and the other axis has a linear scale. In loglog graphs, both axes have a logarithmic scale. The idea here is we use semilog or loglog graph axes so we can more easily see details for small values of y as well as large values of y.

Q1. Plot the following exponential function for x=1 to 10 and calculate the slope of the resulting line on semilog paper.

y=100e^(−0.2x)

x 0 1 2 3 4 5 6 7 8 9 10
y 100 81.9 67.0 54.9 44.9 36.8 30.1 24.7 20.2 16.5 13.5

Q2. Plot the following power function for x=1 to 10 and calculate the slope of the resulting line on loglog paper.

y=2.5x^1.4

x 1 2 3 4 5 6 7 8 9 10
y 2.5 6.6 11.6 17.4 23.8 30.7 38.1 45.9 54.2 62.8