It is given that f(x)=x3−4x+1f(x) = x^3 - 4x + 1f(x)=x3−4x+1.
One of the intervals below contains a root of the equation f(x)=0f(x) = 0f(x)=0.
Identify this interval.
Tick one box.
[−1,0][-1, 0][−1,0]
[0,1][0, 1][0,1]
[2,3][2, 3][2,3]
[3,4][3, 4][3,4]
137 exam-style questions on OCR (MEI) A Level Maths 1.10 Numerical Methods (A-level only), covering 1.10.1 Locate roots by change of sign (A-level only), 1.10.2 When change of sign methods fail (A-level only), 1.10.3 Fixed point iteration (A-level only), 1.10.4 Newton-Raphson method (A-level only), 1.10.5 Convergence of iterations (A-level only), 1.10.6 Trapezium rule (A-level only), 1.10.7 Upper and lower bounds using rectangles (A-level only), and 1.10.8 Numerical methods to solve problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.