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: From the graph, observe that the function intersects the y-axis at (0, 4). This means that when x = 0, y = 4.
Step 2: By substituting x = 0 into the equation \( y = ae^{-x} \), we find \( y = ae^{0} = a \).
Therefore, we have \( 4 = a \).
Thus, the value of a is 4.
Therefore, A.
Step 2: By substituting x = 0 into the equation \( y = ae^{-x} \), we find \( y = ae^{0} = a \).
Therefore, we have \( 4 = a \).
Thus, the value of a is 4.
Therefore, A.
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