MODULUS FUNCTION PRACTICE MODULUS EQUATIONS 2 x + 1 = 9 3 − x = 6 3 4 x − 3 − 1 = 14

Solving modulus equations and inequalities involving one function of x The function y = |x | is made up of y = x and y = − x so to solve the equation two equations x = 4 and −x = 4 are solved. |x | = 4 , the …

The figure above shows part of the graph of the curve with equation y f x=( ). The graph meets the coordinate axes at B(0,3)and D(4,0)and has stationary points at A(−2,1)and C(2,5). Sketch on …

Topic: Modulus Function and Graphs Chapter Reference: Pure 2, Chapter 2 minutes The diagram shows the curve y = f(x). The domain of the curve intersects the coordinate aces at the points (-3, 0) …

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This was generally well done, although some candidates made heavy weather of substituting the x values into the modulus function, some clearly seeing the modulus bracket as a substitute notation …

Find simplified expressions the following function compositions, stating in each case the domain and range.

Copy and complete: What do you suspect? 5 Use the fact that = to prove that: 6 Using la I = a if 0 and -a if a < 0, modulus Signs and hence graph each function: MODULUS EQUATIONS WTite the following …

Notes Solving modulus equations involving functions of x on both sides There are two methods for solving modulus equations of the form | f (x)| = |g(x)| . The first method was seen in question 2 of the …