Analyzing Graphs and Finding Domains of Functions

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant
• increasing, decreasing, constant
• increasing, constant, increasing, constant
• increasing, constant, decreasing, constant

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which statement is true about this function?

• The function is never constant
• The function is always increasing
• The function is never decreasing
• The function increases on the interval 11:00 < x < 15:00

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

When is the function decreasing?

• (30, 55)
• (40, 60)
• (15, 40)
• (60, -40)

Tags

CCSS.HSS.ID.C.7

Which statement is true about the graph.

• It is a function and its domain is (-4 , 5]

• It is a function and its domain is [-4 , 5)

• It is not a function and its domain is (-4 , 5]

• It is not a function and its domain is [-4 , 5)

The domain of the function is

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ 2\right)\ U\left(2,\ \infty\right)$

• $\left(-\infty,\ 4\right)$
  

• [-2, 2)

The function has point(s) of discontinuity at

• x = -3 only

• y = 2 and y = 4

• x = -3 and x = 1

• x = 1 only

The range of the function is

• $\left(-\infty,\ \infty\right)$

• ( 0,  4 ]

• $\left(-\infty,\ 4\right)$
  

• ( -  $\infty$  ,  4 ]

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $f\left(x\right)\ =\ \left(x\ -2\right)^2+\ 1\$  is increasing on

•  $\left(-\infty,\ \infty\right)$  

•  $\left(\ -\infty,\ 2\ \right)$  

• [ 2,  $\infty$  )

•  $\left(\ 1,\ \infty\right)$  

This function has the following constant interval(s)

• ( - 6, 1 )

• ( - 3, 1 ) only

• ( - 6, - 5 ) only

• ( - 6, -5 ) U ( - 3, 1 )

When finding the domains of even root functions algebraically , we must

• only need to set the radicand equal to zero

• try as many numbers as we can

• set the radicand less than zero

• set the radicand greater than or equal to zero.

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.IF.B.5