9  Assembling functions

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Reading questions

Reading question 9.1 You are likely familiar with the “quadratic polynomial”, often written

$$\begin{array}{}\text{(9.1)}& q(x)\equiv a+bx+c{x}^2\end{array}$$

The Reading encourages you to think of a function like $q(x)$ as a linear combination of three functions.

Which one of the following is not one of the three functions being combined in Math expression 9.1?

$x^2$

$1$

$e^x$

$x$

question id: quadratic-components

Reading question 9.2 In the function composition $\sin (2t+3)$ which is the outer function?

$2t$

$2t+3$

$\sin ()$

$\sin (at)$

question id: composition-1

… and which is the inner function?

$2t$

$2t+3$

$\sin ()$

$\sin (at)$

question id: composition-2

Reading question 9.3 The Reading introduces a function that is equivalent to this one:

$$D(y)\equiv y$$

The name used in the Reading is not $D()$. What is it?

sameness()       congruity()       same()       identity()      

question id: what-name

09-reading.rmarkdown

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