### Answer Analysis

1. **Understanding Logarithmic and Exponential Functions**: A logarithmic function can be expressed as $ y = \log_b(x) $, while the corresponding exponential function is $ y = b^x $.

2. **Graphical Reflection**: The reflection property states that if you take a point $(x, y)$ on the exponential function, its coordinates will switch places when reflected over the line $ y = x $. Hence, the point $(x, b^x)$ becomes $(b^x, x)$, which corresponds to the logarithmic function.

3. **Conclusion**: Since the reflection of the exponential graph gives exactly the points corresponding to the logarithmic function, the statement is indeed true.

### Final Answer
**True.** The graph of a logarithmic function is the graph of the corresponding exponential function reflected over the line $ y = x $.

Question

### Answer Analysis

1. **Understanding Logarithmic and Exponential Functions**: A logarithmic function can be expressed as $ y = \log_b(x) $, while the corresponding exponential function is $ y = b^x $.

2. **Graphical Reflection**: The reflection property states that if you take a point $(x, y)$ on the exponential function, its coordinates will switch places when reflected over the line $ y = x $. Hence, the point $(x, b^x)$ becomes $(b^x, x)$, which corresponds to the logarithmic function.

3. **Conclusion**: Since the reflection of the exponential graph gives exactly the points corresponding to the logarithmic function, the statement is indeed true.

### Final Answer
**True.** The graph of a logarithmic function is the graph of the corresponding exponential function reflected over the line $ y = x $.

Knowee AI · Accepted Answer

### Answer Analysis

1. **Understanding Logarithmic and Exponential Functions**: A logarithmic function can be expressed as $ y = \log_b(x) $, while the corresponding exponential function is $ y = b^x $.

2. **Graphical Reflection**: The reflection property states that if you take a point $(x, y)$ on the exponential function, its coordinates will switch places when reflected over the line $ y = x $. Hence, the point $(x, b^x)$ becomes $(b^x, x)$, which corresponds to the logarithmic function.

3. **Conclusion**: Since the reflection of the exponential graph gives exactly the points corresponding to the logarithmic function, the statement is indeed true.

### Final Answer
**True.** The graph of a logarithmic function is the graph of the corresponding exponential function reflected over the line $ y = x $.

The graph of a logarithmic function is always the graph of the corresponding exponential function reflected over the line y = x.Question 11Select one:TrueFalse

Question

The graph of a logarithmic function is always the graph of the corresponding exponential function reflected over the line y = x.

Solution

Answer Analysis

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