Use graphical reasoning to determine if the following statements are true or false. If false, modify the statement to make it correct.

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(a) If f is increasing, then f¹ is increasing. (b) If f is decreasing, then f¹ is decreasing. (c) If f is concave up, then f¹ is concave up. (d) If f is concave down, then f¹ is concave down. (e) Linear functions f(x) = ax + b (a # 0) are always one-to-one. (f) Quadratic polynomials f(x) = ax² + bx+c (a + 0) are always one-to-one. (g) f(x) = sin x is not one-to-one.