Question

Which function has a horizontal asymptote of y = 3?
f(x) = 3(2x)
f(x) = 2(4)x–3
f(x) = 2(3x)
f(x) = 2(4x) + 3

Answer 1

Answer:

f(x) = 2(4x) + 3

Step-by-step explanation:

Answer 2

The horizontal asymptote of y=3 is f(x) = 2(4x)+3.

What is horizontal asymptote?

Horizontal asymptote are "the horizontal lines of the graph of the function approaches as 'x' tends to ∞ or -∞".

According to the question,

The function has a horizontal asymptote of y=3.

f(x) = 3(2x) = 6x

Put x = 0

f(x)=0                     [This is not horizontal asymptote ]

f(x) = 2(4)x–3 = 8x-3 put x=0 then f(x) = -3 ≠ 3

[This is not horizontal asymptote ]

f(x)=2(4x)+3 = 8x+3 put x=0

f(x) = 3.

Hence, the horizontal asymptote of y=3 is f(x) = 2(4x)+3.

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