Study Guide for 1.1 1.2 ( Domain, Range, End Behavior, Increasing, Decreasing, Max, Min, Average Rate of Change)

What is the domain in interval notation?

• [-4,2]

• (-4,2)

• [- $\infty$ , $\infty$ ]

• (- $\infty$ , $\infty$ )

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Write the range of the function as an inequality.

• (- $\infty$  ,  $\infty$  )

• - $\infty$  < y<  $\infty$  

• - $\infty$  < y  $\le4$  

• (- $4$ ,  $4$  ]

Describe the end behavior: $As\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\ _{\ \ \ \ \ \ \ \ \ \ \ \ }$ 
 $As\ x\ \rightarrow\ -\infty,\ f\ \left(x\right)\rightarrow$  

•  $\infty$  
   $-\infty$  
  

•  $\infty$  
   $\infty$  
  

•  $-\infty$ 
   $-\infty$  
  

•  $-\infty$  
   $\infty$  
  

Tags

CCSS.HSF-IF.C.7A

What is the range of the function if the domain is restricted to [ -3,1]?

• [0,4]

• $\left(-\infty,\ 4\right]$

• [0]

• (-3,1)

Tags

CCSS.HSF-BF.B.4D

Select all intervals on which the function is increasing.

• { t | 0 < t < 2 }

• { t | 2 < t < 6 }

• { t | 6 < t < 10 }

Select all intervals on which the function has a positive rate of change.

• From x = 0 to x = 1

• From x = 1 to x = 2

• From x = 1 to x = 3

• From x = 3 to x = 4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The length of the curve of a satellite dish can be modeled by the function f(d), where d is the horizontal distance, in inches (in.), from the left edge of satellite dish shown. What is the domain of the function?

• All real numbers from 0 to 18

• All real numbers greater than 0

• All real numbers from 0 to 5.05

• All real numbers from 5.05 to 18

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Tags

CCSS.HSF-IF.C.7A

How many roots does this parabola have? 

• 3
• 2
• 0
• 1

Tags

CCSS.HSF-IF.C.7A

Is this a max or min?

• max
• min

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1