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1.2 Algebra and Functions

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Question 127
49%

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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Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

566 exam-style questions on OCR A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Indices, 1.2.2 Surds, 1.2.3 Simultaneous equations, 1.2.4 Quadratic functions, 1.2.5 Completing the square, 1.2.6 Solving quadratic equations, 1.2.7 Inequalities, 1.2.8 Expressing solutions of inequalities, 1.2.9 Representing inequalities graphically, 1.2.10 Manipulating polynomials, 1.2.11 Simplifying rational expressions, 1.2.12 The modulus function (A-level only), 1.2.13 Graphs of functions, 1.2.14 Sketching curves from equations, 1.2.15 Sketching reciprocal curves, 1.2.16 Interpreting solutions graphically, 1.2.17 Intersection points of graphs, 1.2.18 Proportional relationships, 1.2.19 Graph of the modulus of a linear function (A-level only), 1.2.20 Solving modulus equations graphically (A-level only), 1.2.21 Definition of a function (A-level only), 1.2.22 Inverse and composite functions (A-level only), 1.2.23 Simple graph transformations, 1.2.24 Combinations of graph transformations (A-level only), 1.2.25 Partial fractions (A-level only), and 1.2.26 Models in context. Each one has a worked solution and a mark scheme showing where the marks go.

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