QQuestionMathematics
QuestionMathematics
Which is the graph of a logarithmic function?
A.
B.
C.
D.
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Answer
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Step 1:I'll solve this step by step, analyzing the characteristics of logarithmic functions.
Step 2:: Recall the key characteristics of a logarithmic function
* Has a vertical asymptote at $$x = 0
- Key properties include: * Range is all real numbers * Always passes through the point (1, 0) * Curve is always concave down
Step 3:: Examine Graph A
- Vertical asymptote at $$x = 0
- Passes through (1, 0) - Concave down shape
Step 4:: Examine Graph B
- Does not pass through (1, 0) - Increases linearly - No vertical asymptote - Not a logarithmic function
Step 5:: Examine Graph C
- Increases rapidly - No vertical asymptote - Does not match logarithmic function characteristics
Step 6:: Examine Graph D
- Decreases rapidly - No vertical asymptote - Does not match logarithmic function characteristics
Final Answer
A is the graph of a logarithmic function.
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