Chap 7 Exercises

\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]

Exercise 1  

Table 1: Average debt (D) in thousands of dollars at the end of the spring term in each year (Y) for bachelor’s degree recipients attending public four-year colleges and universities who borrowed money to finance their education.
Y D
2001 20.4
2003 20.9
2005 21.5
2006 21.8
  1. TRUE or FALSE: Table 1 defines a function D(Y).
TRUE       FALSE      

question id: daily-digital-09-TF1

  1. What is the domain and range? (If the table does define a function.)

Table 2: Price of gas (P) at different gas stations in Los Angeles, California on June 11-12, 2015.
D P
6/11 3.79
6/11 3.50
6/12 3.79
6/12 3.49
  1. TRUE or FALSE: Table 2 defines a function P(D).
TRUE       FALSE      

question id: mmac-1_1-TF2

  1. What is the domain and range? (If the table does define a function.)

  1. TRUE or FALSE: Table 2 defines a function D(P).
TRUE       FALSE      

question id: mmac-1_1-TF23

Exercise 2 In scientific notation numbers like 79245.83 are written 7.924583 \(\times\) 104. In R and many other computer languages, scientific notation is indicated by the letter e, with the exponent following the e. For instance, 7.924583 \(\times\) 104 would be written 7.924583e4.

A simple, visual calculation that approximates the log10(): Just look at the exponent (in scientific notation) for the input. We might call this the “poor-man’s logarithm.”

Repeat the calculation for several different numbers written in scientific notation and figure out the relationship between the poor-man’s logarithm and the actual output from log10(). Briefly explain what you figured out in the text box below.

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