Suppose y= In x. Describe the graphs of y=- In x and y = In (-x).

Explanation

To describe the graphs of \( y = -\ln x \) and \( y = \ln(-x) \), we first need to understand the graph of \( y = \ln x \).

### Step 1: Graph of \( y = \ln x \)
The graph of \( y = \ln x \) is defined for \( x > 0 \). It passes through the point (1, 0) since \( \ln(1) = 0 \). As \( x \) approaches 0 from the right, \( y \) approaches negative infinity, and as \( x \) increases, \( y \) increases without bound.

### Step 2: Graph of \( y = -\ln x \)
To obtain the graph of \( y = -\ln x \), we apply a transformation that reflects the graph of \( y = \ln x \) across the x-axis.

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