Subjects algebra

Graph A Properties Aa8Dac

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1. **Problem Statement:** Analyze the properties of graph a), which is a straight line with positive slope crossing the y-axis at about $y = -2$ and the x-axis at about $x = 2$. 2. **Degree:** A straight line is a polynomial of degree 1. 3. **Shape:** The graph is a straight line. 4. **Leading Coefficient:** Since the slope is positive, the leading coefficient is positive. 5. **Number of x-intercepts:** The line crosses the x-axis once, so there is 1 x-intercept. 6. **x-intercepts:** The x-intercept is approximately at $x = 2$. 7. **y-intercepts:** The y-intercept is approximately at $y = -2$. 8. **End behavior:** For a line with positive slope, as $x \to \infty$, $y \to \infty$ and as $x \to -\infty$, $y \to -\infty$. 9. **Domain:** The domain of a line is all real numbers, so $(-\infty, \infty)$. 10. **Range:** The range of a line is all real numbers, so $(-\infty, \infty)$. 11. **Number of Turning Points:** A line has no turning points. Final summary for graph a): - Degree: 1 - Shape: Straight line - Leading Coefficient: Positive - Number of x-intercepts: 1 - x-intercepts: $2$ - y-intercepts: $-2$ - End behavior: $y \to \infty$ as $x \to \infty$, $y \to -\infty$ as $x \to -\infty$ - Domain: $(-\infty, \infty)$ - Range: $(-\infty, \infty)$ - Number of Turning Points: 0