Chapter 1: Q14E (page 9)
Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is well maintained.
Short Answer
The required graph is as follows.
Chapter 1: Q14E (page 9)
Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is well maintained.
The required graph is as follows.
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Get started for freeThe relationship between the Fahrenheit and Celsius temperature scales is given by the linear function\({\bf{f = }}\frac{{\bf{9}}}{{\bf{5}}}{\bf{c + 32}}{\bf{.}}\)
(a) Sketch a graph of this function
(b)What is the slope of the graph and what does it represent? What is the
F-intercept and what does it represent?
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her \(380 to drive 480 mi and in June it cost her \)460 to drive 800 mi.
(a) Express the monthly cost\({\bf{C}}\)as a function of the distance driven\(\)assuming that a linear relationship gives a suitable model.
(b) Use part (a) to predict the cost of driving 1500 miles per month.
(c) Draw the graph of the linear function. What does the slope represent?
(d) What does the y-intercept represent?
(e) Why does a linear function give a suitable model in this situation?
Find the domain and sketch the graph of the functions\(f\left( {\bf{x}} \right){\bf{ = }}\left\{ \begin{array}{l}{\bf{x + 2}},{\bf{x}} \le {\bf{ - 1}}\\{{\bf{x}}^{\bf{2}}}{\bf{,x > - 1}}\end{array} \right.\).
Express the area of an equilateral triangle as a function of the length of a side.
Determine whether is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.
\({\bf{f}}\left( {\bf{x}} \right){\bf{ = }}\frac{{\bf{x}}}{{{\bf{x + 1}}}}\)
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