The function f f\,f is defined for all real values of x x\,x by
f(x)=x2−6x+cf(x) = x^2 - 6x + cf(x)=x2−6x+c
where c c\,c is a constant.
Given that the range of f f\,f is {f(x):f(x)≥2}\{f(x) : f(x) \geq 2\}{f(x):f(x)≥2}, find the value of ccc.
Given instead that ff(2)=2ff(2) = 2ff(2)=2, find the possible values of ccc.
216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.