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Sagot :
Answer:
Vertical asymptote at x=2
D: (-∞,2] ∪ [2,∞)
R: (-∞,∞)
x-int: x=-5/3
y-int: 5/3
*use the website Desmos for an image of the graph; on an exam use an x/y table to sketch*
Edit: I didn't see that there was a chart at the bottom of the pic; Desmos can still give points, but your x & y intercepts are two points, regardless
Step-by-step explanation:
Asymptote: the denominator cannot equal zero
D: x cannot equal 2
R: all real numbers
x int: set y=0 and solve
y int: set x=0 and solve
Answer:
Step-by-step explanation:
D: ( - ∞ , - 2 ) ∪ ( - 2 , ∞ )
R: ( - ∞ , 3 ) ∪ ( 3 , ∞ )
Asymptotes: x = - 2 , y = 3
x - int. ( x , 0 ) :
[tex]\frac{-1}{x+2}[/tex] + 3 = 0
[tex]\frac{-1}{x+2}[/tex] = - 3
x + 2 = [tex]\frac{1}{3}[/tex]
x = - 1 [tex]\frac{2}{3}[/tex]
( - 1 [tex]\frac{2}{3}[/tex] , 0 ) are coordinates of x - intercept.
y - int. ( 0 , y ) :
- 1 ÷ ( 0 + 2 ) + 3 = 2 [tex]\frac{1}{2}[/tex]
( 0 , 2 [tex]\frac{1}{2}[/tex] ) are coordinates of y - intercept.
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