1) Drag the end points and use the check boxes to graph the step function given.
Graph each of the following.
2) \( f(x) = \begin{cases} 2, \ &\mbox{if } \ -4<x\leq-1 \\ 0, \ & \mbox{if } \ -1<x<2 \\ 1.5, \ & \mbox{if } \ 2\leq x\leq5 \end{cases} \)
3) \( f(x)= \begin{cases} 4, \ & \mbox{if } \ -5\leq x<-3 \\ -1, \ & \mbox{if } \ -3\leq x\leq 0 \\ -2, \ & \mbox{if } \ 0<x<5 \end{cases} \)
2) \( f(x) = \begin{cases} 2, \ &\mbox{if } \ -4<x\leq-1 \\ 0, \ & \mbox{if } \ -1<x<2 \\ 1.5, \ & \mbox{if } \ 2\leq x\leq5 \end{cases} \)
3) \( f(x)= \begin{cases} 4, \ & \mbox{if } \ -5\leq x<-3 \\ -1, \ & \mbox{if } \ -3\leq x\leq 0 \\ -2, \ & \mbox{if } \ 0<x<5 \end{cases} \)
4) Graph the following step function. Where the price per shirt \( P \) is a function of the number of shirts \( n \).
\( P(n)= \begin{cases} 20, \ &\mbox{if } \ 0<x\leq20 \\ 15, \ & \mbox{if } \ 20<x\leq40 \\ 10, \ & \mbox{if } \ 40<x\leq80 \\ 5, \ & \mbox{if } \ x>80 \\ \end{cases} \)
\( P(n)= \begin{cases} 20, \ &\mbox{if } \ 0<x\leq20 \\ 15, \ & \mbox{if } \ 20<x\leq40 \\ 10, \ & \mbox{if } \ 40<x\leq80 \\ 5, \ & \mbox{if } \ x>80 \\ \end{cases} \)
5) Write the function for the following cost of going on a cruse with respect to people in your party.
6) Below is information about sending a letter in the U.S. Using the "Change" column information create a step function graph and equation that describes the cost \( C \) in dollars as a function of weight \( w \) for sending a package. Assume that the USPS would round up.
Review
Solve the system of equations
7) \( \begin{cases} -4x - 15y = -17\\-x + 5y = -20\\ \end{cases}\)
8) \( \begin{cases} -5x + 9y = -12\\3x + 2y = 22\\ \end{cases}\)
9) \( \begin{cases} x + y = -9\\x + 2y = -25\\ \end{cases}\)
10) \( \begin{cases} 4x - 5y = 49\\2x + 10y = -23\\ \end{cases}\)
11) \( \begin{cases} 3x + 4y = -23\\2y - x = -19\\ \end{cases}\)
12) \(b = 2.35 + 0.25x\)
\(c = 1.75 + 0.40x\)
In the equations above, \(b\) and \(c\) represent the price per pound, in dollars, of beef and chicken, respectively,
\(x\) weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per
pound of chicken?