48 -6-4-2 the 2 2 What is the value for f(x) when x=-1? f(x) 2 00

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter7: Polynomial Equations And Factoring
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### Graph Analysis and Interpretation

The image contains a graph with a Cartesian coordinate plane. The \( x \)-axis is labeled, and the \( y \)-axis is labeled as \( f(x) \). A red line passes through several points on the graph, representing the function \( f(x) \).

#### Detailed Explanation:

- **Axes:**
  - The \( x \)-axis and \( y \)-axis intersect at the origin (0,0).
  - The \( x \)-axis is labeled with values ranging from -8 to 8.
  - The \( y \)-axis has values ranging from -8 to 8.

- **Line:**
  - The red line passes through multiple plotted points, showing a linear function. 
  - Key points visible on the graph include approximately (0, -4), (1, -2), (2, 0), (3, 2), and (4, 4).

#### Question:

- **What is the value for \( f(x) \) when \( x = -1 \)?**

#### Finding the Value:

1. Locate \( x = -1 \) on the \( x \)-axis.
2. Trace vertically to the point where it intersects with the red line.
3. The intersection occurs approximately at \( f(x) = -6 \).

Therefore, the value of \( f(x) \) when \( x = -1 \) is -6.
Transcribed Image Text:### Graph Analysis and Interpretation The image contains a graph with a Cartesian coordinate plane. The \( x \)-axis is labeled, and the \( y \)-axis is labeled as \( f(x) \). A red line passes through several points on the graph, representing the function \( f(x) \). #### Detailed Explanation: - **Axes:** - The \( x \)-axis and \( y \)-axis intersect at the origin (0,0). - The \( x \)-axis is labeled with values ranging from -8 to 8. - The \( y \)-axis has values ranging from -8 to 8. - **Line:** - The red line passes through multiple plotted points, showing a linear function. - Key points visible on the graph include approximately (0, -4), (1, -2), (2, 0), (3, 2), and (4, 4). #### Question: - **What is the value for \( f(x) \) when \( x = -1 \)?** #### Finding the Value: 1. Locate \( x = -1 \) on the \( x \)-axis. 2. Trace vertically to the point where it intersects with the red line. 3. The intersection occurs approximately at \( f(x) = -6 \). Therefore, the value of \( f(x) \) when \( x = -1 \) is -6.
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