Chap 2 Review

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

Exercise 1 Which of these is the symbol for “is defined as”?

Exercise 2 What is the name of the function defined by \[f(y) \equiv \sin(y) + e^y\ ?\]

\(f\) \(\sin\) \(f(y)\)

question id: M01-2

Exercise 3 How do we refer to the output generated by applying \(g(x) \equiv x+3\) to the input 3?

\(g(x)\) \(g(3)\) \(y = 6\)

question id: M01-3

Exercise 4 Using our notation conventions from the textbook, which one of the following kinds of things is \(y_0 ?\)

A constant A function name An input name

question id: M03-22

Exercise 5 Using our notation conventions from the textbook, which one of the following kinds of things is \(t^\star?\)

A constant A function name An input name

question id: M04-1

Exercise 6 Using our notation conventions from the textbook, which one of the following kinds of things is \(B ?\)

A constant A function name An input name

question id: M04-2

Exercise 7 Using our notation conventions from the textbook, which one of the following kinds of things is \(F() ?\)

A constant A function name An input name

question id: MGwvNS

Exercise 8 Using our notation conventions from the textbook, which one of the following kinds of things is \(u\) ?

A constant A function name An input name

question id: 3Yxhvu

Exercise 9 Can function names be multiple letters, e.g. g3() or altitude()?

Yes No

question id: jRqRwj

Exercise 10 In the book, will input names have subscripts, like \(x_0\) or \(u_2\ \)?

Yes No

question id: qx5fhu

Exercise 11 In the book, what is meant by the word “variable”?

it is the same as input.

it is the same as output.

A column in a data table.

question id: UyVrjr

Exercise 12 What is the name of the function being defined in \(a(b) \equiv 3 x + 2 b\)?

a b x

question id: jL2bMb

Exercise 13 What is the name of the input to the function being defined in \(a(b) \equiv 3 x + 2 b\)?

a b x

question id: 7EiMPI

Exercise 14 What is wrong with this function definition? \[\text{dorothy(kansas)} \equiv niece_of(AuntieEm) \times \text{kansas}\ ?\]

You cannot name a function “dorothy.”

“kansas” is a US state, not the name of an argument.

“dorothy” and “kansas” should be capitalized.

Auntie Em is a person, not a number.

Nothing.

question id: 2XfUTb

Exercise 15 What’s wrong with this function definition? \[\text{electric}(z) \equiv 3 z + \ln()\]

No input has been given to \(\ln()\).

‘electric()’ should have been written as E().

Nothing

question id: 7z5PpG

Exercise 16 You are modeling the population of E. coli growing in optimal conditions. (Optimal for the E. coli, not for you!) In R, you’ve written population <- makeFun(100*exp(hours) ~ hours) What’s the correct definition in traditional notation?

\(\text{population} \equiv 100 e^\text{hours}\)

\(\text{population}(t) \equiv 100 e^\text{hours}\)

\(\text{population}(\text{hours}) \equiv 100 e^\text{hours}\)

None of the above.

question id: PN4DcB

Exercise 17 In traditional notation, \[\text{Celsius}(\text{Fahrenheit}) \equiv \frac{5}{9} (\text{Fahrenheit} - 32)\] defines a function named Celsius(). This of the following correctly defines that function in R?

Celsius(Fahrenheit) <- makeFun(5*(Fahrenheit-32)/9)

Celsius <- makeFun(5/9*Fahrenheit - 32 ~ Fahrenheit)

Celsius() <- makeFun(5*(Fahrenheit-32)/9 ~ Fahrenheit)

Celsius <- makeFun(5*(Fahrenheit-32)/9 ~ Fahrenheit)

Celsius(Fahrenheit) <- makeFun(5*(Fahrenheit-32)/9 ~ Fahrenheit)

question id: aBQhv1

Exercise 18 Which of these does the symbol \(y_0\) suggest using our CalcZ notation conventions?

Exercise 19 Given the definition \(g(z) \equiv z \sin(z)\), which of these does the symbol \(z\) suggest using our CalcZ notation conventions?

Exercise 20 Given the definition \(g(z) \equiv z \sin(z)\), which of these does the symbol \(g\) suggest using our CalcZ notation conventions?

Exercise 21 Given the definition \(pressure(H) \equiv \exp(- H/10)\), which of these does the symbol \(H\) suggest using our CalcZ notation conventions?

Exercise 22 Given the definition \(pressure(H) \equiv exp(-.1 H)\), which of these does the symbol \(pressure\) suggest using our CalcZ notation conventions?

Exercise 23 In the definition \(h(z) \equiv a z + b\) what is the symbol \(z\)?

Exercise 24 In the definition \(h(z) \equiv a z + b\) what is the symbol \(a\)?

Exercise 25 Can function names have subscripts or superscripts, like \(g_0()\) or \(f'() ?\)

Yes No

question id: jsH1Hk

No answers yet collected