I Lab 4: Linearization In previous labs, we've plotted functions that we expect to be straight lines. What if we don't know the type of relationship we'll be obtaining? We're going to consider two families of relationships: power laws and exponentiais. A power law is one where the variable is at the base and raised to a power, while an exponential has the variable in the exponent. That is: Power law: f (x) = AxB Exponential: f (x) = A3\" where A and B are constants. One method is to create two types of plots using the natural logarithm: semi-log and log-log plots, as below: Semi-log Log-log In (f(x)) 1n (rm) x ln(x) In your group, work through why these two types of graphs are useful for distinguishing power law from exponential relationships, and detail your thinking in your lab narrative. If we were to use linear least-squares fitting to evaluate the quality of the relationships, how would the slope and intercept in each case relate to the constants A and B from above