Analyzing Rational Functions and Their Derivatives

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

Tags

CCSS.HSF-IF.C.7D

What are the domain and range of the graph?

• Domain: All real numbers

  Range: All real numbers

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)

• (-2,0)

• (0, -1/2)

• (-2,0) and (-3,0)

Tags

CCSS.HSF-IF.C.7D

Where is the graph decreasing?

• Nowhere

Tags

CCSS.HSF-IF.C.7E

What creates a hole in the graph of a rational function?

• Crossing the x-axis

• An absence of dirt.

• Crossing a vertical asymptote.

• A factor that cancels out.

Tags

CCSS.HSF-IF.C.7D

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1

• D : All real number x ≠ 1
  R: All real number y≠ -3

• D : All real number x ≠ 3
  R: All real number y≠ 1

• D : All real number x ≠ -1
  R: All real number y≠ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the end behavior of the graph?

Tags

CCSS.HSF-IF.C.7D

What is the end behavior of the graph?  

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

For what intervals of x does f(x) have a negative slope?

• -1<x<4

• -1≤x≤4

• x<-6 and x>4

• -6<x<-1

Tags

CCSS.HSF.IF.B.4