Describing Graphs of Functions

What are the domain and range of the function?

• $D:\ \left(-\infty,\ +\infty\right)\ \ R:\ \left[2,\ +\infty\right)$

• $D:\ \left(-\infty,\ +\infty\right)\ \ R:\ \left(-\infty,\ +\infty\right)$

• $D:\ \left[2,\ +\infty\right)\ \ R:\ \left(-\infty,\ +\infty\right)$

• $D:\ \left[-4,\ 4\ \right]\ R:\ \left[2,\ 12\right]$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Is this a linear function?

• yes

• no

• cannot be determined

Tags

CCSS.8.F.A.3

Does this function have extrema?

• yes, it has a maximum at (0, 2)

• yes, it has a minimum at (0, 2)

• yes, it has multiple relative minimums and maximums

• cannot be determined

Tags

CCSS.HSA.REI.D.10

What is the end behavior of this function?

• As x → +∞ ,  y → -∞  AND As x → - ∞ ,  y → -∞

• As x → +∞ ,  y → +∞  AND As x → - ∞ ,  y → -∞

• As x → +∞ ,  y → +∞  AND As x → - ∞ ,  y → +∞

• cannot be determined

Tags

CCSS.HSF-IF.C.7A

What is the best description of this function as it related to increasing/decreasing?

• increases as x goes from - ∞ to 0, then decreases from 0 to + ∞

• it is a decreasing function 

• It is an increasing function

• decreases as x goes from - ∞ to 0, then increases from 0 to + ∞

Tags

CCSS.HSF-IF.C.7A

What are the domain and range of the function?

• $D:\ \left(-\infty,\ +\infty\right)\ \ R:\ \left[-2,\ +2\right]$

• $D:\ \left(-\infty,\ +\infty\right)\ \ R:\ \left(-\infty,\ +\infty\right)$

• $D:\ \left[-2,\ +\infty\right)\ \ R:\ \left(-\infty,\ +2\right]$

• $D:\ \left[-2,\ 2\right]\ \ R:\ \left[-2,\ 2\right]$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Is this a linear function?

• yes

• no

• cannot be determined

Tags

CCSS.8.F.A.3

Does this function have extrema?

• yes, it has a maximum at (1, -2)

• yes, it has a minimum at (-1, 2)

• yes, it has a relative maximum at (-1, 2) and a relative maximum at (1, -2)

• cannot be determined

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end behavior of this function?

• As x → +∞ , y → -∞ AND As x → - ∞ , y → -∞

• As x → +∞ , y → +∞ AND As x → - ∞ , y → -∞

• As x → +∞ , y → +∞ AND As x → - ∞ , y → +∞

• cannot be determined

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the intercepts of this function?

• x-intercept and y-intercept at 0,  ONLY

• y-intercepts at -1.75, 0, +1.75

• x-intercepts at -1.75, 0, and +1.75, y-intercept at 0

• it does not have intercepts

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11