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.8.F.A.1

CCSS.HSF.IF.B.5

Describe the end behavior of the graph.

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

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

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

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

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

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

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

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

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.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.C.7A

What is the domain of this graph?

• $x\ge0$ ( $\left[0,\ \infty\right)$ )

• $x<0$

• All real numbers ( $\left(-\infty,\ \infty\right)$ )
  

• None of the above

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this parent graph?  Choose the best answer.

• All nonnegative numbers $y\ge0\ \left(\left[0,\ \infty\right)\right)$  

• All real numbers ( $\left(-\infty,\ \infty\right)$  )

• All negative numbers $y<0\ \left(\left(-\infty,\ 0\right)\right)$  

• All of the above

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the end behavior as  $x\rightarrow-\infty$  ?

•  $f\left(x\right)\rightarrow\infty$  

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

•  $f\left(x\right)\rightarrow0$  

• None of the above

Tags

CCSS.HSF-IF.C.7A

What is the range of the function?

• The set of x-values

• All the numbers in a function

• The set of y-values

• An ordered pair

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain of a function?

• The set of y-values

• The set of x-values

• The numbers in a function

• The numbers on a graph

Express the following in Interval Notation
-8 ≤ x < 8

• [-8, 8]
• [-8,8)
• (-8, 8]
• (-8, 8)

Tags

CCSS.6.EE.B.8