5  Pattern-book functions

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

Reading questions

NOTE: The instant feedback feature for multiple-choice questions has been turned off for these reading questions.

Exercise 5.1 One of these is not the name of a pattern-book function. Which is it?

gaussian       tangent       logarithm       sigmoid      

question id: not-pattern-book

Exercise 5.2 For each of these pattern-book function, say whether the range includes negative numbers.

  1. constant
yes       no      

question id: pattern-ranges-constant

  1. proportional
yes       no      

question id: pattern-ranges-proportional

  1. square
yes       no      

question id: pattern-ranges-square

  1. reciprocal
yes       no      

question id: pattern-ranges-reciprocal

  1. gaussian
yes       no      

question id: pattern-ranges-gaussian

  1. sigmoid
yes       no      

question id: pattern-ranges-sigmoid

  1. sinusoid
yes       no      

question id: pattern-ranges-sinusoid

  1. exponential
yes       no      

question id: pattern-ranges-exponential

  1. logarithmic
yes       no      

question id: pattern-ranges-logarithmic

Exercise 5.3 Which pattern-book function corresponds to every increasing growth such that each increase in the input by a fixed amount leads to a doubling of the function output?

logarithmic       exponential       square       reciprocal      

question id: doubling-reading

Exercise 5.4 Which of these is an exponential function: \(f(x) \equiv 2^x\) or \(g(x) \equiv x^2\)? (Hint: You should be able to figure this out from the reading just based on the exponents in the respective function formulas.)

Both       Neither       f() only       g() only      

question id: exp-or-power

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