Let f R → R be the function f(x) = x3 x Then f ′ (x) = 3x2 1 ≥ 1 > 0, so f is strictly monotone, thus injective (onetoone) Then the limits of f at ± ∞ are respectively ± ∞, and from the continuity of f each value in between is taken Ex 12, 10 Let A = R − {3} and B = R − {1} Consider the function f A → B defined by f (x) = ((x − 2)/(x − 3)) Is f oneone and onto?My solution Let $f(x_1) = f(x_2)$ $\implies x_1^2 2x_1 = x_2^2 2x_2$
Example 9 Prove That F X 2x Is One One And Onto Chapter 1
