1) Copy down the function and drag the points and x's to match the piecewise function. Sketch the graph of the correct answer.
2) Copy down the function and drag the points and x's to match the piecewise function. Sketch the graph of the correct answer.
3) Evaluate the function below for the given value of \(x\).
\( f(x)=
\begin{cases}
9x-4, \ &\mbox{if } \ x>3 \\
\dfrac{1}{2}, \ & \mbox{if } \ x \leq3 \end{cases} \)
a) \( f(-4)\)
b) \( f(2)\)
c) \( f(3)\)
d) \( f(5)\)
e) \(f(4.1)\)
f) \(f(0)\)
g) \(f(3.8)\)
h) \(f(11)\)
b) \( f(2)\)
c) \( f(3)\)
d) \( f(5)\)
e) \(f(4.1)\)
f) \(f(0)\)
g) \(f(3.8)\)
h) \(f(11)\)
Graph each function.
4) \( f(x)= \begin{cases} 2x+1, \ &\mbox{if } \ x\geq0 \\ -x+1, \ & \mbox{if } \ x<0 \end{cases} \)
5) \( f(x)= \begin{cases} - \dfrac{1}{2}x-1, \ &\mbox{if } \ x<2 \\ 3x-7, \ & \mbox{if } \ x\geq2 \end{cases} \)
6) \( f(x)= \begin{cases} 3, \ &\mbox{if } \ 0<x\leq2 \\ 1, \ & \mbox{if } \ 2<x\leq4 \\ 5, & \mbox{if } \ 4<x\leq6 \end{cases} \)
7) 6) \( f(x)= \begin{cases} -\dfrac{5}{3}x + 1, \ &\mbox{if } \ x < -1 \\ - 1, \ & \mbox{if } \ -1 \leq x < 3 \\ -3x + 5, & \mbox{if } \ x \geq 3 \end{cases} \)
8) Create your own piecewise function below using Desmos.
Review
Solve the system of equations
9) \( \begin{cases} 3x + 2y = -15\\2x = -16\\ \end{cases}\)
10) \( \begin{cases} 6x - 5y = 26\\y = -8.2\\ \end{cases}\)
11) \( \begin{cases} y = \dfrac{7}{4}x - 3\\\dfrac{y}{2} = 2\\ \end{cases}\)
12) \( \begin{cases} y = -\dfrac{13}{4}x + 7\\y = \dfrac{3}{4}x - 9\\ \end{cases}\)
13) A food truck sells salads for \(\$6.50\) each and drinks for \(\$2.00\) each. The food truck’s revenue from selling a total of \(209\) salads and drinks in one day was \(\$836.50\). How many salads were sold that day? (From SAT practice tests)