2.15 Semi-log plots

What is a semi-log plot?

What type of data or functions will appear linear on a semi-log plot?

What is the advantage of using a semi-log plot?

How can we apply techniques used to model linear functions to a semi-log graph?

Given an exponential model of the form y = ab^x, what is the corresponding linear model for the semi-log plot?

Consider the function y = 3^x. Sketch the semi-log plot for this function.

Consider the exponential model y = 5 \times 2^x. What is the corresponding linear model for a semi-log plot?

Given the linear model y = 3x + 2, what is the corresponding exponential model for a semi-log plot?

Given a semi-log plot with an equation ofy=(\log_3 2)x + \log_3 4, what is the corresponding exponential model?

Explain how a semi-log plot can be useful in revealing whether an exponential model is appropriate for a given set of data.

Given the exponential model y = 7 \times 3^x, what are the linear rate of change and the initial linear value on a semi-log plot?

Given an exponential modely = 2^x, what is the initial linear value and the linear rate of change in the corresponding linear model for the semi-log plot?

Given the linear model y = -2x + 3 on a semi-log plot, what is the corresponding exponential decay model?

Consider a set of data that demonstrates exponential behavior. How would you decide whether to use a linear plot or a semi-log plot to represent this data? Justify your answer.

Given the exponential model y = ab^x, explain how the values of a and b affect the corresponding linear model on a semi-log plot.

Consider the exponential modely = 2^x. This model has a base of 2. What would happen to the semi-log plot if we change the base to a different positive number? Justify your reasoning.