Question 15
The graph shows a sketch of y=∣3x−2∣y=|3x-2|y=∣3x−2∣
a.[2]
State the coordinates of the points of intersection with the axes.
b.[2]
The line y=ax+1y=ax+1y=ax+1 passes through the point (23,0)\displaystyle (\frac{2}{3},0)(32,0). Find the value of aaa.
c.[5]
Hence, given that the graphs of y=∣3x−2∣y=|3x-2|y=∣3x−2∣ and y=ax+1y=ax+1y=ax+1 have two distinct points of intersection, determine
(i) the set of possible values of aaa,
(ii) the x x\,x coordinates of the points of intersection of these graphs, giving your answers in terms of aaa.
Functions and Graphs Questions
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.