Key Features of graphs of absolute value functions

Over what interval is the function decreasing?

• (-3, inf)

• (inf, -3)

• -inf, -3)

• (-3, inf)

The vertex is a ___________for this graph.

• maximum

• minimum

What are the coordinates of the vertex?

• (-6, 4)

• (0,6)

• (0, -6)

• (-6, 0)

What kind of function is this graph representing?

• linear

• absolute value

• quadratice

• exponential

What is the end behavior for this function?

• 
  

  $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$ and $as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\infty$
  

• $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$ and $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

• $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$ and $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$ and $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

What is the range for this graph?

• $\left(-\infty,7\right)$

• $\left(-\infty,7\right]$

• $\left(7,\infty\right)$

• $\left[7,\infty\right)$

What is the slope of the line represented by the function

 $y=-3x+6$  

• 6

• -3

Find the slope of the line containing the points
(4, 7) and (6, 13).

 $m=\frac{y_2-y_1}{x_2-x_1}$  

•  $\frac{1}{3}$  

• (6, 2)

• 3

•  $\frac{7}{3}$  

An absolute value graph has symmetry about its ___________

• vertex

• interval

• axis of symmetry

• x intercept

• y intercept

An absolute value graph that looks like a V is called concave________, and the vertex is a ________value.

• up, maximum

• down, maximum

• up, minimum

• down, minimum