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3 years ago

How do you find out if a graph has more than one horizontal asymptote?

Mathematics

1 answer:

Ne4ueva [31]3 years ago

4 0

Answer:

If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

Step-by-step explanation:

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Read 2 more answers

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Ber [7]

The correct answer is: [A]: " ( $\frac{1}{2}$ )⁴ " .
_______________________________________________

Note: ( $\frac{1}{2}$ )⁴ = $\frac{1^{4} }{2^{4} }$ ;

= $\frac{1*1*1*1}{2*2*2*2}$ ;

= $\frac{1}{16}$ .
_______________________________________________________

Consider "Choice [B]" : "( $\frac{1}{2}$ )⁴ " ;

Note: ( $\frac{1}{4}$ )⁴ = $\frac{1^{4} }{4^{4} }$ ;

= $\frac{1*1*1*1}{4*4*4*4}$ ;

= $\frac{1}{256}$ .

Note that: " $\frac{1}{256}$ " $\neq$ " $\frac{1}{16}$ " .
__________________________________________________________

Consider "Choice [C]" : "( $\frac{1}{8}$ )² " ;

Note: ( $\frac{1}{8}$ )² = $\frac{1^{2} }{8^{2} }$ ;

= $\frac{1*1}{8*8}$ ;

= $\frac{1}{64}$ .

Note that: " $\frac{1}{64}$ " $\neq$ " $\frac{1}{16}$ " .
__________________________________________________________
→ As such, the only correct answer choice is:
__________________________________________________________
Answer choice: [A]: " ( $\frac{1}{2}$ )⁴ " .
__________________________________________________________

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4 years ago

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Step-by-step explanation:

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