[PS 1.1] Limits of Polynomial & Rational Functions

Function: y = -3x⁴ +2x² - 8x + 9.
As x approaches infinity, what does y approach?

• infinity
• negative infinity
• 0
• -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What does the degree of a polynomial function tell you?

• how hot it is

• the most number of x-intercepts it can have

• the most number of y-intercepts it can have

• the most number of terms it has

• the most number of solutions it can have

What could be the equation for this graph?

• y = -2x³ + 1x + 3
• y = (x - 2)(x + 1)(x + 3)
• y = (x + 2)(x - 1)(x - 3)
• y = -2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Does this function have an absolute maximum?

• Yes 
• No

Tags

CCSS.HSA.REI.D.10

• 6

• -5

• 3

• 150

• 195

• 16

• 46

• 10

• 6

• -infinity

• infinity

• 6

• 3

The limit when x approaches to negative infinity of f(x)=-5x is

• 0
• Negative infinity
• Positive infinity
• None of these

 $\lim_{x\rightarrow4}\left(\frac{\left(x+3\right)\left(x-4\right)}{\left(x-4\right)}\right)=$  

• 0

• 1

• 3

• 7

• Does not exist

 $\lim_{x\rightarrow3}\left(\frac{\left(x-1\right)\left(x+3\right)}{\left(x-3\right)}\right)=$  

• 2

• -2

• 12

• 0

• Does not exist