Explanation Vertical asymptotes of y = x + 1 x Take the denominators of y = x + 1 x and compare to zero x = 0 Check the vertical asymptotes are true lim x → 0 − ( x + 1 x ) lim x → a [ f ( x ) ± g ( x ) ] = lim x → a f ( x ) ± lim x → a g ( x ) = lim x → 0 − ( x ) + lim x → 0 − ( 1 x ) lim x → 0 − ( x ) Plug in the value x = 0 lim x → 0 − ( 1 x ) For x approaching 0 , x < 0 ⇒ x < 0 = − ∞ = 0 − ∞ Apply Infinity Property : c − ∞ = − ∞ = − ∞ lim x → 0 + ( x + 1 x ) lim x → a [ f ( x ) ± g ( x ) ] = lim x → a f ( x ) ± lim x → a g ( x ) = lim x → 0 + ( x ) + lim x → 0 + ( 1 x ) lim x → 0 + ( x ) Plug in the value x = 0 lim x → 0 +

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.5, Problem 58E

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The function of graph the transition points and asymptotes for the equation y = x+1x

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Chapter 4.5, Problem 57E

Chapter 4.5, Problem 59E

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Chapter 4 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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The function of graph the transition points and asymptotes for the equation y = x + 1 x

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The function of graph the transition points and asymptotes for the equation y = x+1x

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Chapter 4 Solutions