Provide an appropriate response.A classmate claims that, if a function f(x) has a horizontal asymptote at y = w, then the function can only approach w but cannot actually equal w. Evaluate the classmate's claim.
What will be an ideal response?
The classmate's claim is wrong. The horizontal asymptote tells us what the behavior of f(x) will be as x approaches the extremes of its domain, but puts no restrictions on the function in between the extremes.
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Solve the problem.A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 90 in. What dimensions will give a box with a square end the largest possible volume?
A. 15 in. × 15 in. × 75 in. B. 30 in. × 30 in. × 30 in. C. 15 in. × 15 in. × 30 in. D. 15 in. × 30 in. × 30 in.
Approximate the natural logarithm with a scientific calculator. Round to four decimal places.ln 0.986
A. 0.0141 B. -0.0061 C. -0.0141 D. 0.0061
Insert <, =, or > to write a true statement.
___ 0.45
A. < B. > C. =
Establish the identity.
= 
What will be an ideal response?