Find WV A 7 B 23 C 84 D 145
1 answer:
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Answer:
B. vertical asymptote: x = 1
horizontal asymptote: y = 0
Step-by-step explanation:
1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator, , equal to 0 and solve for x:
Thus, the vertical asymptote is x = 1.
2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.
Domain: Set of all real numbers
If you want to express the domain in set-builder notation, then you'd write something like
which is fancy notation to basically say "x is any real number"
If you want to write the domain in interval notation, then you'd write
which is the interval from negative infinity to positive infinity. In other words, the entire real number line.
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The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.
If you want to express the domain in set-builder notation, then you'd write something like
If you want to write the domain in interval notation, then you'd write
-----------------------------------------------------------------
The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.