I'm unable to view images directly, but I can help you understand how to determine if the graph represents the given piecewise function.
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Examine the function segments:
- For \( x < 1 \): The equation is \( f(x) = 2x + 6 \). This is a linear function that should intersect the y-axis at \( y = 6 \) when \( x = 0 \).
- For \( 1 \leq x < 6 \): The equation is \( f(x) = -\frac{1}{4}x - 3 \). This line should start at the point \( (1, -\frac{1}{4} \cdot 1 - 3) \) and extend to just before \( x = 6 \).
- For \( x \geq 6 \): The equation is \( f(x) = 4 + 4x \). This is another linear function that starts at \( (6, 4 + 4 \cdot 6) = (6, 28) \).
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Check endpoints:
- At \( x = 1 \), ensure the function from the first segment ends exactly at the point defined by the second segment.
- Similarly, check that the second segment ends just before \( x = 6 \) and that the third segment begins at \( x = 6 \).
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Continuity:
- The transition points (1 and 6) should correspond to the values specified in the piecewise function.
If you can analyze the graph against these criteria, you can determine if the graph accurately represents the piecewise function. If everything matches as described, you would enter 1 for yes. If there are discrepancies, enter 2 for no.
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