Write the Word or Phrase That Best Completes Each Statement$$f ( x ) = \frac { x + 1 } { x ^ { 2 } + 4 x - 5 }$$

Question

Examlex · Accepted Answer

The Answer is

\mathrm { x }

-intercept:

( - 1,0 )

\mathrm { y }

-intercept:

\left( 0 , - \frac { 1 } { 5 } ight)

Vertical asymptotes:

x = - 5 , x = 1

Horizontal asymptote:

\mathrm { y } = 0

$\mathrm { x } -intercept: ( - 1,0 ) \mathrm { y } -intercept: \left( 0 , - \frac { 1 } { 5 } ight) Vertical asymptotes: x = - 5 , x = 1 Horizontal asymptote: \mathrm { y } = 0 \lim _ { x ightarrow \infty } f ( x ) = 0 , \lim _ { x ightarrow \infty } f ( x ) = 0 Domain: ( - \infty , - 5 ) \cup ( - 5,1 ) \cup ( 1 , \infty ) Range: ( - \infty , \infty ) Continuity: all x eq - 5,1 No local extrema Decreasing on: ( - \infty , - 5 ) , ( - 5,1 ) , ( 1 , \infty )$

\lim _ { x ightarrow \infty } f ( x ) = 0 , \lim _ { x ightarrow \infty } f ( x ) = 0

Domain:

( - \infty , - 5 ) \cup ( - 5,1 ) \cup ( 1 , \infty )

Range:

( - \infty , \infty )

Continuity: all

x eq - 5,1

No local extrema
Decreasing on:

( - \infty , - 5 ) , ( - 5,1 ) , ( 1 , \infty )

Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \frac { x + 1 } { x ^ { 2 } + 4 x - 5 }$

Definitions:

Write the Word or Phrase That Best Completes Each Statement f(x)=x+1x2+4x−5f ( x ) = \frac { x + 1 } { x ^ { 2 } + 4 x - 5 }f(x)=x2+4x−5x+1​

Definitions:

Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \frac { x + 1 } { x ^ { 2 } + 4 x - 5 }$