Answer:
<em>Correct answer: C. f(x) = 2(3)x + 4</em>
<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>
Step-by-step explanation:
<u>Horizontal Asymptote</u>
The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist
The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.
Let's analyze each one of the options provided:
A. f(x) = 2x -4
No horizontal asymptote
B. f(x) = -3x + 4
No horizontal asymptote
C. f(x) = 2\cdot 3^x + 4
This function has a horizontal asymptote at y=4
D. 3\cdot 2^x -4
This function has a horizontal asymptote at y=-4
Correct answer: C.
