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Chapter 1: Problem 8
Find the coordinates of the point. The point is on the \(x\) -axis and 12 units to the left of the \(y\) -axis.
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Find a mathematical model that represents the statement. (Determine the constant of proportionality.) Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical model that relates liters \(y\) to gallons \(x\) Then use the model to find the numbers of liters in 5 gallons and 25 gallons.
Match the data with one of the following functions $$f(x)=c x, g(x)=c x^{2}, h(x)=c \sqrt{|x|}, \quad \text {and} \quad r(x)=\frac{c}{x}$$ and determine the value of the constant \(c\) that will make the function fit the data in the table. $$\begin{array}{|c|c|c|c|c|c|}\hline x & -4 & -1 & 0 & 1 & 4 \\\\\hline y & -32 & -2 & 0 & -2 & -32 \\\\\hline \end{array}$$
Sketch the graph of the function.
$$k(x)=\left\\{\begin{array}{ll}2 x+1, & x \leq-1 \\\2 x^{2}-1, & -1
Use a graphing utility to graph the function. Be sure to choose an appropriate viewing window. $$h(x)=\sqrt{x+2}+3$$
(a) Write the linear function \(f\) such that it has the indicated function values and (b) Sketch the graph of the function. $$f(1)=4, \quad f(0)=6$$
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