Intro to Piecewise Functions

Find the equation of the line through the points (-3, 1) and (1, -3)

•  $y=x-2$  

•  $y=-x+2$  

•  $y=-x-2$  

•  $y=x+2$  

Which of the following domain restrictions is correct for the function shown to the right?

•  $\left(-2,\ 5\right)$  

•  $\left[-2,5\right)$  

•  $\left(-4,\ 10\right)$  

•  $\left(-4,10\right]$  

What is the domain of the function show?

•  $\left\{-4,\ 4\right\}$  

•  $-4\le x\le4$  

•  $-4\le x<4$  

•  $-1\le x\le2$  

•  $-1\le x\le4$  

Using the function provided, evaluate f(1).

• 4

• 7

• 1

• 3

Using the function provided, evaluate f(6)

• 3

• -1

• 1

• 0

Given the piecewise-defined function below, find f(2).

• -9

• -8

• -3

• 1

• None of the above

In your own words, describe key characteristics of piecewise functions.

Which of the following is the domain of the function?

• $\left[-4,\ 12\right]$

• $\left(-4,12\right)$

• $\left[-4,\ -2\right)U\ \left(-2,\ 8\right)\ U\ \left(8,12\right]$

• $\left[0,\ 8\right)$

• $\left(0,\ 8\right)$

Which of the following is the range of the function?

• $\left[-4,\ 12\right]$

• $\left(-4,12\right)$

• $\left[-4,\ -2\right]U\ \left(-2,\ 8\right)\ U\ \left(8,12\right]$

• $\left[0,\ 8\right)$

• $\left(0,\ 8\right)$

Using the piecewise function, evaluate f(5)

• -6

• -5

• 7

• Undefined