QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Which equation is represented by the graph below?
\begin{array}{l}
y = \ln x \\
y = \ln x + 1 \\
y = e^x \\
y = e^x + 1
\end{array}
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Answer
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Step 1: Identify the graph's general shape
The given graph is an exponential growth curve, which means it has the form of either $y = e^x$ or $y = e^{x+c}$, where $c$ is a constant.
We can eliminate options $y = \ln x$ and $y = \ln x + 1$ because they represent logarithmic functions, not exponential growth.
Step 2: Determine if the graph shifts vertically
Therefore, we can also eliminate option $y = e^x + 1$.
The graph does not shift vertically; it passes through the origin.
Final Answer
The equation represented by the graph is $y = e^x$.
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