Unit 2: Functions & Their Graphs; Continuity & End Behavior

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=-2

• Jump Discontinuity at x=-2

• Removable Discontinuity at x=2

Tags

CCSS.HSF-IF.C.7B

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=0

• Jump Discontinuity at x=0

• Infinite Discontinuity at x=0

Tags

CCSS.HSF-IF.C.7D

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=1

• Jump Discontinuity at x=1

• Infinite Discontinuity at x=1

Tags

CCSS.HSF-IF.C.7D

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=2

• Jump Discontinuity at x=2

• Infinite Discontinuity at x=2

Tags

CCSS.HSF-IF.C.7B

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=-2; Infinite Discontinuity at x=3

• Removable at x=-2; Jump Discontinuity at x=3

• Infinite Discontinuity at x=-2; Removable Discontinuity at x=3

Tags

CCSS.HSF-IF.C.7D

Determine if the function shown on the graph is continuous. If not, identify the type & location of discontinuity.

• Continuous

• Removable Discontinuity at x=4; Infinite Discontinuity at x=-4

• Jump Discontinuity at x=-4; Jump Discontinuity at x=4

• Infinite Discontinuity at x=-4; Infinite Discontinuity at x=4

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of each graph.

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow6$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow-3$

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow\infty$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow-3$

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

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow6$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow-\infty$

Tags

CCSS.HSF-IF.C.7E

Describe the end behavior of each graph.

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow0$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow0$

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow\infty$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow0$

• 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.7D

Describe the end behavior of each graph.

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow0$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow0$

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow\infty$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow0$

• 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

Describe the end behavior of each graph.

• As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow2$ ; As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow-6$

• 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 $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow-6$

• 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.7E