Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Graph of an exponential function 
is shown in figure. What is the value of 
?
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Identify the exponential function given in the question as \( y = ae^{-x} \).
Step 2: From the graph provided, we can see that when \( x = 0 \), the value of \( y \) is 4, which gives us \( y(0) = a \cdot e^{0} = a \Rightarrow a = 4 \).
Step 3: Substitute the value of \( a \) back into the function: \( y = 4e^{-x} \).
Step 4: Therefore, to find \( a \), we conclude that the value of \( a = 4 \).
Therefore, A.
Step 2: From the graph provided, we can see that when \( x = 0 \), the value of \( y \) is 4, which gives us \( y(0) = a \cdot e^{0} = a \Rightarrow a = 4 \).
Step 3: Substitute the value of \( a \) back into the function: \( y = 4e^{-x} \).
Step 4: Therefore, to find \( a \), we conclude that the value of \( a = 4 \).
Therefore, A.
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