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Consider the four functions graphed in the figure below, and assume the equations for A, B, C, and D, can all be written in the form y = abt. Which two functions have the same value for a? BD ✓ Ⓒ D A

Consider the four functions graphed in the figure below, and assume the equations for A, B, C, and D, can all be written in the form y = abt. Which two functions have the same value for a? BD ✓ Ⓒ D A

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Graph Analysis of Exponential Functions** Consider the four functions graphed in the figure above, where the equations for \(A\), \(B\), \(C\), and \(D\) can all be expressed in the form \(y = ab^t\). Which two functions have the same value for \(a\)? **Graph Description:** The graph shows four different curves labeled as \(A\), \(B\), \(C\), and \(D\). - **Curve A** (Red): This curve appears to increase rapidly, suggesting a higher base \(b\). - **Curve B** (Blue): This curve decreases sharply, indicating a strong negative exponent or a small base. - **Curve C** (Green): This curve increases steadily without steep changes. - **Curve D** (Orange): This curve is similar to Curve A but seems to grow at a different rate. The curves intersect at a central point in the graph, allowing for comparison of values at specific intervals. **Selection**: The two functions with the same value for \(a\) are indicated as options, and the user-selected answer suggests these are functions B and D, though details for determining this are not visible in the current content.
Transcribed Image Text:**Graph Analysis of Exponential Functions** Consider the four functions graphed in the figure above, where the equations for \(A\), \(B\), \(C\), and \(D\) can all be expressed in the form \(y = ab^t\). Which two functions have the same value for \(a\)? **Graph Description:** The graph shows four different curves labeled as \(A\), \(B\), \(C\), and \(D\). - **Curve A** (Red): This curve appears to increase rapidly, suggesting a higher base \(b\). - **Curve B** (Blue): This curve decreases sharply, indicating a strong negative exponent or a small base. - **Curve C** (Green): This curve increases steadily without steep changes. - **Curve D** (Orange): This curve is similar to Curve A but seems to grow at a different rate. The curves intersect at a central point in the graph, allowing for comparison of values at specific intervals. **Selection**: The two functions with the same value for \(a\) are indicated as options, and the user-selected answer suggests these are functions B and D, though details for determining this are not visible in the current content.
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