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.

Mathematics

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Graph the hyperbola.9x2 = 4y2 + 36

A.

B.

C.

D.

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Translate the phrase into algebraic symbols.The sum of a number and sixteen. 

A. x +
B. x and
C.
D. and x
E. x

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Determine whether the equation defines y as a function of x. y2 + x = 6

A. function B. not a function

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A warehouse supervisor is told to ship at least 50 packages of gravel that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each. The maximum weight capacity of the truck to be used is 9,500 pounds. Find and graph a system of inequalities describing the numbers of bags of stone and gravel that can be shipped. ?

A.

?


B. ?


C.

?


D. ?


E.

?

?


Mathematics