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Magazine Problem 55
Solve the inequality. Express your answer in interval notation. $$-4(x+2) \geq x+5$$
Problem 55
The piecewise-defined function given below is known as the characteristic
function, \(C(x) .\) It plays an important role in advanced mathematics.
$$C(x)=\left\\{\begin{array}{ll}0, & \text { if } x \leq 0 \\\1, & \text { if
} 0
Problem 55
Use a graphing utility to graph each function. Be sure to adjust your window size to see a complete graph. $$f(x)=2.5|x|+10$$
Problem 55
This set of exercises will draw on the ideas presented in this section and your general math background. Can \(y=2 x+5\) represent an equation for direct-variation?
Problem 56
Solve the inequality. Express your answer in interval notation. $$-3(x-3)<7 x+1$$
Problem 56
The piecewise-defined function given below is known as the characteristic
function, \(C(x) .\) It plays an important role in advanced mathematics.
$$C(x)=\left\\{\begin{array}{ll}0, & \text { if } x \leq 0 \\\1, & \text { if
} 0
Problem 56
This set of exercises will draw on the ideas presented in this section and your general math background. Does the following table of values represent a linear model? Explain. $$\begin{array}{|c|c|} \hline x & y \\ \hline -1 & 4 \\ 0 & 7 \\ 1 & 16 \\ 2 & 30 \\ \hline \end{array}$$
Problem 56
Find the equation of the line, in point-slope form, passing through the pair of points. $$(10,8) \text { and } (5,8)$$
Problem 56
Find the domain of each function. Write your answer in interval notation. $$g(x)=\frac{3}{\sqrt{8-x}}$$
Problem 56
Use a graphing utility to graph each function. Be sure to adjust your window size to see a complete graph. $$f(x)=-|1.4 x|-15.2$$
