(a) Find the largest open interval, centered at the origin on the x-axis, such that for each x in the interval the value of the function f(x) = x + 2 is within 0.1 unit of the number f(0) = 2. (b) Find the largest open interval, centered at x = 3, such that for each x in the interval the value of the func- tion f(x) = 4x-5 is within 0.01 unit of the number f(3) = 7. (c) Find the largest open interval, centered at x = 4, such that for each x in the interval the value of the func- tion f(x) = x is within 0.001 unit of the number f(4) = 16. 2