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practice testMultiple Choice

Practice Test

Question 1 • Algebra 2 with Probability

Which function has a horizontal asymptote of y is equal to 3 ?

Answer
A
f of x is equal to 2 times open paren 4 to the x th power close paren plus 3
B
f of x is equal to 3 times open paren 2 to the x th power close paren
C
f of x is equal to 2 times 4 raised to the x minus 3 power
D
f of x is equal to 2 times open paren 3 to the x th power close paren

Explanation

An exponential function of the form a·b^x + k has horizontal asymptote y = k, because the exponential term approaches 0 in one direction. Choice C adds 3, so its horizontal asymptote is y = 3; the other choices have no vertical shift that gives an asymptote of 3.

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