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What is the domain of the linear function? The red line passes through points (5,-7) and (1,0)
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GPT-4o mini
To determine the domain of a linear function defined by two points, we need to consider the nature of linear functions. A linear function is typically represented in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
In this case, the function is defined by the line passing through the points (5, -7) and (1, 0). The domain of a linear function is generally all real numbers, \((- \infty, \infty)\), because a linear function continues infinitely in both the positive and negative directions along the x-axis.
Therefore, the domain of the linear function defined by the red line that passes through points (5, -7) and (1, 0) is:
\[
(-\infty, \infty)
\]
In this case, the function is defined by the line passing through the points (5, -7) and (1, 0). The domain of a linear function is generally all real numbers, \((- \infty, \infty)\), because a linear function continues infinitely in both the positive and negative directions along the x-axis.
Therefore, the domain of the linear function defined by the red line that passes through points (5, -7) and (1, 0) is:
\[
(-\infty, \infty)
\]
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