It is given that f(x)=x(x−b)(x+4)f(x) = x(x - b)(x + 4)f(x)=x(x−b)(x+4) where 0<b<40 < b < 40<b<4.
Sketch the curve with equation y=f(x)y = f(x)y=f(x), showing on your sketch the coordinates, in terms of b b\,b where appropriate, of the points where the curve meets the xxx-axis.
Sketch the curve with equation y=f(3x)y = f(3x)y=f(3x).
State, in terms of b b\,b where appropriate, the coordinates of the points where the curve y=f(3x)y = f(3x)y=f(3x) meets the xxx-axis.
302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.