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).
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.