Domain, Range, and End Behavior

What is the domain of this graph?

• $x\ge0$

• $x>0$

• $\left(-\infty,\ \infty\right)$
  

• $\left[0,\infty\right)$
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of the graph?

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

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

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 range of this graph? Select all correct answers.

• $y\ge0$

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ 0\right)$

•  $\left[0,\infty\right)$  
  

• All real numbers

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 graph?

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Describe the end behavior of the graph.

• 
  

  $As\ \ x→+∞,\ \ f\left(x\right)→+∞$
  

  $As\ x→-∞,\ f\left(x\right)→-∞$
  

• $As\ x→+∞,\ f\left(x\right)→+∞\ \ \$

  $As\ \ x→-∞,\ f\left(x\right)→+∞$
  

• $As\ x→+∞,\ \ f\left(x\right)→-∞$

  $As\ x→-∞,\ f\left(x\right)→-∞$
  

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the range of the graph below.

• $\left\{x\left|-2\le x<4\right|\right\}$

• $\left\{x\left|-3<x\le4\right|\right\}$

• $\left\{y\left|-2\le y<4\right|\right\}$

• - $\left\{y\left|-3<y\le4\right|\right\}\$

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

Describe the function's end behavior.

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

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

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

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

Tags

CCSS.HSA.REI.D.10

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.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5