Chap 2 Exercises

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Exercise 1 Here are some function definitions in the format we use in MOSAIC Calculus. For each, say what is the name of the function being defined, what are the names of the inputs to the function, and what are the names, if any, of the parameters used in the definition.

1. $h(x)\equiv 3x+2$.

What is $x$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-1}

2. $\text{line}(x)\equiv mx+b$

What is $m$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-2a}

What is $b$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-2b}

3. $\text{wave}(t)\equiv A\sin (2\pi t/P)$

What is “wave”?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-3a}

What is $t$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-b}

What is $P$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-3c}

What is $\sin$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-3d}

4. $\text{plane}(x,y)\equiv a+bx+cy$

What is $a$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-4}

5. $f_1(z)=z^n$

What is $n$?

function name       name of input       name of a parameter       something else      

question id: doe-trim-table-5}

Exercise 2 Keeping in mind the notation style we use in MOSAIC Calculus, which of these things is a function? Which a number?

1. What kind of a thing is $\sqrt{z}$ ?

A function

A number

question id: fn1-1

2. What kind of a thing is $\sqrt{y^{\star }}$ ?

A number

A function

question id: fn1-2

3. What kind of a thing is $e^{kt}$?

A function

A number

question id: fn1-3

4. What kind of a thing is $k$ in the definition $g(k)\equiv e^k$?

A number

The name of an input to a function.

A function

question id: fn1-4

02-exercises.rmarkdown

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