Other Functions/ Domain and Range

What type of function is this?

• Cubic

• Absolute Value

• Exponential

• Square Root

What type of shift/translation did this function undergo?
y=  $x^3$ + 3

• Shift three times up

• Shift right 3

• Shift up 3

• Shift left 3

What formula best describes this function?

• $y=2^x$

• $y=\left(\frac{1}{2}\right)^x$

• $y=x^2$

What equation best fits this graph?

•  $y=\left|x-1\right|+1$  

• y= -1 + 1

• y= x + 1 - 1

•  $y=\left|x+1\right|-1$  

What is the domain and range of this graphed function?

• $D:\ x\ge\ -4$
  

  $R:\ y\ \ge\ 0$
  

• $D:\ x\ >\ -4$
  $R:\ y\ >\ 0$
  

• $D:\ x\ <-4$
  $R:\ y<0$
  

• $D:\ y\le\ -4$
  $R:\ y\le\ 0$
  

Write an equality for each number line.

• $4\ <\ x$
  $3\ge x$
  

• $4\ >\ x$
  $3\ \le x$
  

Write the interval notation for this inequality shown on the number line.

• $\left[-2,\ \infty\right]$

• $\left(\infty,\ -2\right]$

• $\left[-2,\ \infty\right)$

• $\left(-2,\ \infty\right]$

 $f\left(6\right)=x^3$  Solve.

• 2

• 729

• 216

• 18

Write the interval notation for this number line.

• $-3\le x\le1$

• $-3>x<1$

• $-3>x<1$

• $-3<x<1$

What type of function is this?

• Quadratic function broken into three pieces.

• linear and exponential on one graph

• Piecewise function

• square root and linear on one graph