Which functions share at least one zero with the function whose graph is shown? (The zeros of the graphed function as all integers, and the graphed function does not cross the x-axis at places other than those shown.) Check all that apply. -10 -5. 10 5 5 10 x Of(x) = x² + x³ - 7x² − x + 6 Of(x) = x³ 2x² − 5x + 6 Of(x) = ln (1) ○ ƒ(x) = x² + x − 6

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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**Which functions share at least one zero with the function whose graph is shown?**  
*(The zeros of the graphed function are all integers, and the graphed function does not cross the x-axis at places other than those shown.) Check all that apply.*

![Graph showing the function](graph_description.jpg)

The graph presents a function that has zeros at \( x = -4 \), \( x = 1 \), and \( x = 2 \).

### Options to Check:

1. \( f(x) = x^4 + x^3 - 7x^2 - x + 6 \)  
   \[ \square \]

2. \( f(x) = x^3 - 2x^2 - 5x + 6 \)  
   \[ \square \]

3. \( f(x) = \ln \left(\frac{x}{2}\right) \)  
   \[ \square \]

4. \( f(x) = x^2 + x - 6 \)  
   \[ \square \]

### Graph Description:

The graph is a polynomial function that crosses the x-axis at three points: \( x = -4 \), \( x = 1 \), and \( x = 2 \). The y-axis is labeled from -10 to 10, and the x-axis is labeled from -10 to 10.

This information will help identify which of the functions listed shares at least one zero with the function represented by the graph.
Transcribed Image Text:**Which functions share at least one zero with the function whose graph is shown?** *(The zeros of the graphed function are all integers, and the graphed function does not cross the x-axis at places other than those shown.) Check all that apply.* ![Graph showing the function](graph_description.jpg) The graph presents a function that has zeros at \( x = -4 \), \( x = 1 \), and \( x = 2 \). ### Options to Check: 1. \( f(x) = x^4 + x^3 - 7x^2 - x + 6 \) \[ \square \] 2. \( f(x) = x^3 - 2x^2 - 5x + 6 \) \[ \square \] 3. \( f(x) = \ln \left(\frac{x}{2}\right) \) \[ \square \] 4. \( f(x) = x^2 + x - 6 \) \[ \square \] ### Graph Description: The graph is a polynomial function that crosses the x-axis at three points: \( x = -4 \), \( x = 1 \), and \( x = 2 \). The y-axis is labeled from -10 to 10, and the x-axis is labeled from -10 to 10. This information will help identify which of the functions listed shares at least one zero with the function represented by the graph.
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