https://file.aiquickdraw.com/mathbot/file/17254751299069jn5ry7w.jpg

The image shows two graphs, each representing a piecewise function. The task is to identify which answer describes the given graphs, with options provided as follows:

- A) Square Root
- B) Absolute Value
- C) Exponential
- D) Logarithmic
- E) Rational

Let's analyze the graphs to determine the correct answer:

1. **Left Graph**: 
   - The graph has a vertical asymptote at \(x = 0\).
   - It is undefined at \(x = 0\), and the graph appears in two separate parts: one in the first quadrant and one in the third quadrant.
   - This suggests that the function might be of a form that involves division by \(x\), like a **rational function**.

2. **Right Graph**:
   - The graph is V-shaped and symmetric with respect to the y-axis.
   - This is characteristic of the **absolute value function**, which has the general form \(y = |x|\).

Given these observations:

- The first graph corresponds to a **rational function**.
- The second graph corresponds to an **absolute value function**.

Thus, the answer would be **B) Absolute Value and E) Rational**.

The graphs of two parent functions are shown. Which answer functions are they? Choose all that apply: A) Square Root, B) Absolute Value, C) Exponential, D) Logarithmic, E) Rational.

Analyze the graphs of parent functions, including Absolute Value and Rational Functions. This problem involves understanding the properties and visual characteristics of piecewise and rational functions. Ideal for students in Grades 9-12.

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