2.4 Key Features Review

For the graph, what is the range?

• $\left(-\infty,\infty\right)$

• $\left(\infty,-\infty\right)$

• $\left(-\infty,-3\right]$

• $\left[-3,\infty\right)$

For the graph, what is the domain?

• $\left(-\infty,\infty\right)$

• $\left(\infty,-\infty\right)$

• $\left(-\infty,-3\right]$

• $\left[-3,\infty\right)$

Over what interval is the function decreasing?

• [-3, inf)

• (inf, -3)

• -inf, -3)

• (-3, inf)

Describe the end behavior of the function.

• $as\ x→-∞,\ f(x)\rightarrow∞$
  $as\ x→∞,\ f(x)\rightarrow-∞$
  

• $as\ x→-∞,\ f(x)\rightarrow-∞$
  $as\ x→∞,\ f(x)\rightarrow-∞$
  

• $as\ x→-∞,\ f(x)\rightarrow2$
  $as\ x→∞,\ f(x)\rightarrow2$
  

• $as\ x→-∞,\ f(x)\rightarrow∞$
  $as\ x→∞,\ f(x)\rightarrow∞$
  

What is the DOMAIN of the function?

• [-3, infinity)
•  [0, infinity)
• [3, inifinity)
• (-infinity, 0}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the function in this graph?

• (-infinity, 3]
• [3, infinity)
• (-inifnity, 0]
• [0 infinity)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the increasing and decreasing intervals for the graph:

• Increasing: (-inf, inf)
  Decreasing: n/a

• Increasing: n/a
  Decreasing: (-inf, inf)

• Increasing: (-4, inf)
  Decreasing: n/a

• Increasing: (-2, inf)
  Decreasing: n/a

Identify the positive and negative intervals:

• Positive: (0, -inf)

  Negative: (-4, 0)

• Positive: (0, inf)

  Negative: [-4, 0)

• Positive: (0, inf)

  Negative: (-2, 0)

• Positive: (-inf, inf)

  Negative: n/a

What is the critical point?

• (-4, -2)

• (0,0)

• None

What is the end behavior of the graph?

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

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

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

• $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow none$ $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

• $as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\ none$ $as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$