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.
Select the correct answer.
[−1,0][-1, 0][−1,0]
[0,1][0, 1][0,1]
[2,3][2, 3][2,3]
[3,4][3, 4][3,4]
125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.