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Functions and Graphs

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Question 37
48%

A thermal sensor in a precision cooling chamber monitors the temperature deviation, TTT (in degrees Celsius), relative to a set point. For a specific cycle, the deviation is modeled by the function:

T(h)=4−∣2h+3∣ T(h) = 4 - |2h + 3| T(h)=4−∣2h+3∣

where hhh is the time in hours.

Identify the correct graphical representation of T(h)T(h)T(h) from the descriptions provided below.

Option A: An inverted V-shaped graph with a vertex at (−1.5,4)(-1.5, 4)(−1.5,4) and a TTT-intercept at (0,1)(0, 1)(0,1).

Option B: A V-shaped graph with a vertex at (1.5,4)(1.5, 4)(1.5,4) and a TTT-intercept at (0,7)(0, 7)(0,7).

Option C: An inverted V-shaped graph with a vertex at (1.5,−4)(1.5, -4)(1.5,−4) and a TTT-intercept at (0,−7)(0, -7)(0,−7).

Option D: A V-shaped graph with a vertex at (−1.5,−4)(-1.5, -4)(−1.5,−4) and a TTT-intercept at (0,−1)(0, -1)(0,−1).

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Functions and Graphs Questions

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