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

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

Answer 1

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 $f(x)= 3*(\frac {1}{4})^{x}$. "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 $f(x)=3*(\frac{1}{4})^{x}$ is: \[ 【Answer】 y =0 \]

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

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