Chapter 2 Section 8
\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]
Notes
Linguistic Mapping Exercises
Knowledge Checks
- Take \(f\) to be the function that is given by \[f(x) = 4x - 2.\] Find equations for the functions given by \(R(f)\), \(M_y(f)\), and \(M_x(f)\) and sketch \(f\) along with these transformed functions.
- Sketch the function \(f\), where \[f(x) = \frac{1}{(x+5)}.\]
- Sketch the function \(f\), where \[f(x) = \frac{1}{(x+5)^4}.\]
- Define \(\mathrm{Recip}(x)=\frac{1}{x}.\) Use \(y\)-axis inversion to sketch \(\mathrm{Recip}\circ(f)\) where \(f\) is this function:
Remember, do the knowledge checks before checking the solutions.