More Practice with Function Characteristics

Domain?

• $\left(-2,\ \infty\right)$
  

• $\left[-2,\ \infty\right)$

• $\left(-\infty,\ 3\right]$

• $\left[3,\ \infty\right)$

• (-2, 5)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Range?

• $\left(-2,\ \infty\right)$
  

• $\left[-2,\ \infty\right)$

• $\left(-\infty,\ 3\right]$

• $\left[3,\ \infty\right)$

• (-2, 5)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Increasing?

•  $\left(-\infty,\ -3\right)$  

•  $\left(-3,\ \infty\right)$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-1,\ \infty\right)$  

Tags

CCSS.HSF-IF.C.7A

Which of the following are x-intercepts?

• (0, -2)

• (-2, 0)

• (-4, 0)

• (0, -4)

• (0, 8)

Tags

CCSS.HSF-IF.C.7A

The function has a(n) _________ at (-3, -1)

Which of the following is NOT true:

• Has x-intercepts at -3, -1 and 4.

• Has an absolute maximum.

• Decreases on the interval (-2.082, 2.082)

• Range is all real numbers.

Check all intervals that are increasing.

• $\left(-\infty,\ -2.082\right)$

• $\left(2.082,\ \infty\right)$

• (-2.082, 2.082)

• $\left(-\infty,\ \infty\right)$

Check all that are true:

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

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

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

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

Increasing?

• (-2, 2)

• (-1, 3)

• $\left(2,\ \infty\right)$

• $\left(3,\ \infty\right)$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Check all that are true:

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

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

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

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