1. The problem asks us to compare the slopes of two functions, Function A and Function B, based on given points and a graph description.
2. The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is:
$$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$$
3. For Function A, we have points $(-4,-10)$ and $(-1,-1)$.
Calculate the slope:
$$m_A = \frac{-1 - (-10)}{-1 - (-4)} = \frac{-1 + 10}{-1 + 4} = \frac{9}{3} = 3$$
4. For Function B, the graph shows a line increasing from approximately $(0,-10)$ to $(2,10)$.
Calculate the slope:
$$m_B = \frac{10 - (-10)}{2 - 0} = \frac{10 + 10}{2} = \frac{20}{2} = 10$$
5. Compare the slopes:
$$m_A = 3 < m_B = 10$$
6. Therefore, the slope of Function A is less than the slope of Function B.
Final answer: The slope of Function A is less than the slope of Function B.
Slope Comparison 8252Ef
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