Domain/Range/End Behavior & Inc./Dec. Intervals

What is the domain of this graph?

• $x\ge0$

• $x>0$

• $\left(-\infty,\ \infty\right)$
  

• $\left[0,\infty\right)$
  

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• 1 ≤ x ≤ 5
• 1 < x < 5
• 1 ≤ y ≤ 5
• 1 < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the end behavior of the graph.

• $As\ x\ \rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$

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

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$

  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of the graph.

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$
  $As\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$
  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$
  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$

• $As\ x\ \rightarrow+\infty,\ f\left(x\right)\ \rightarrow+\infty$

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the function?

• $\left\{x\left|x\le0\right|\right\}\$

• $\left\{x\left|-\infty<x<+\infty\ \right|\right\}$

• $\left\{x\left|\ -2\le x\le2\right|\right\}\$

• $\left\{x\left|x\le2\right|\right\}\$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this graph?

• 
  

  $\left(-\infty,\infty\right)$

• $\left(-2,\ \infty\right)$

• $\left[2,\ \infty\right]$

• $\left[-2,\ \infty\right)$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the increasing intervals?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(1,3\right)$  

•  $\left(-\infty,1\right)\ \cup\left(3,\infty\right)$  

•  $x=3$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What are the decreasing intervals?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(1,3\right)$  

•  $\left(-\infty,1\right)\ \cup\left(3,\infty\right)$  

•  $x=3$  

What is the increasing interval for this function?

• $\left(2,\ 7\right)$

• $\left(0,\ 2\right)$

• $\left(-\infty,-3\right)$

• $\left(-3,\ 0\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.6