\(x^2\)
\(1\)
\(e^x\)
\(x\)
question id: quadratic-components
9 Assembling functions
\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]
Reading questions
Reading question 9.1 You are likely familiar with the “quadratic polynomial”, often written
\[q(x) \equiv a + b x + c x^2 \tag{9.1}\]
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 eq-quad-polynomial-39?
Reading question 9.2 In the function composition \(\sin(2 t + 3)\) which is the outer function?
\(2t\)
\(2 t + 3\)
\(\sin()\)
\(\sin(a t)\)
question id: composition-1
… and which is the inner function?
\(2t\)
\(2 t + 3\)
\(\sin()\)
\(\sin(a t)\)
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
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