Asked by j
Which function is represented by the graph below?
On a coordinate plane, a curve opens right and up in quadrants 1 and 2. The curve passes near (negative 2, 7) in quadrant 2, curves down rapidly, going through (0, 1), and decreases less rapidly approaching the x-axis as an asymptote in quadrant 1.
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GPT-5 mini
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y = e^(−x)
Reason: the graph passes through (0,1) and has a horizontal asymptote y = 0 as x → ∞, while rising rapidly as x → −∞. e^(−x) satisfies those conditions (e^(−0)=1 and e^(2)≈7.39, near the given point (−2,7)).
Reason: the graph passes through (0,1) and has a horizontal asymptote y = 0 as x → ∞, while rising rapidly as x → −∞. e^(−x) satisfies those conditions (e^(−0)=1 and e^(2)≈7.39, near the given point (−2,7)).
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