The asymptote of f(x)=3((1)/(4))^x is square (Type an equation.)

Let's work this problem out step-by-step.【Step 1】Let's understand the problem: The given function is in an exponential form similar to . "b" in g(x)=b^x is 1/4 (a fraction less than 1). For such functions, there's a horizontal line that the graph of the function approaches as it extends to infinity or minus infinity - this line is known as a horizontal asymptote.【Step 2】Find the percentage of missing/changed/wrong answer: Here, the determiner is whether the function increases without a limit or decreases towards zero. Now as "b" is '\frac{1}{4}' and clearly 0<b<1, thus the function should certainly be a decay function.【Step 3】 Generate verification: In a decay function graph, the horizontal asymptote is the line on sugarpanghai y equals zero because as the value of x goes to positive or minus infinity, the function value always grows closer to zero.so【KEY STEP】【Equation】The horizontal asymptote of the graph of the function is: