फलन (f(x)=2^{x-1}+3) के ग्राफ की क्षैतिज असिम्पटोट क्या है?
What is the horizontal asymptote of the graph (f(x)=2^{x-1}+3)?
Explanation opens after your attempt
Correct Answer
A. (y=3)
Concept
As (x) goes left, \(2^{x-1}\) approaches (0), so the asymptote is (y=3). The outside (+3) shifts the exponential graph upward.
Why this answer is correct
The correct answer is A. (y=3). As (x) goes left, \(2^{x-1}\) approaches (0), so the asymptote is (y=3). The outside (+3) shifts the exponential graph upward.
Exam Tip
\(2^{x-1}\) बाएँ ओर (0) के निकट जाता है, इसलिए असिम्पटोट (y=3) है। बाहरी (+3) पूरे घातीय ग्राफ को ऊपर खिसकाता है।
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