Please provide solutions so I can properly teach it to my child. Thank you

3. Did these students make any mistakes? If so, correct their work and simplify (and rationalize the numerator, where applicable). Describe verbally the mistakes made and how to correct them. (a) In the process of finding the difference quotient for the function f(x) = -3x2 + 2x + 1, Malik writes -3(x + h)2+2x+1 - (3x2 +2x +1) h (b) In the process of finding the difference quotient for the function f(x) = 7, Joan writes f ( 7 + h) - f() (c) In the process of finding the difference quotient and rationalizing the numerator for the function f(x) = VT, Bernard writes Vath - Vh VIthtvh h Vath+Vn (d) In the process of finding the difference quotient and rationalizing the numerator for the function f(x) = 2Vx, Greta writes 2vath - 2Vx 2Vath+2VI 4x th - 4x h . 2vath+2VI h . 2Vath+ 2Vx (e) In the process of finding the difference quotient and rationalizing the numerator for the function f(x) = V2x + 3, Gina writes V2(2 + h) +3 -V2x+3 (V2 (x + 1 ) + 3 + V 2x + 3 ) . (f) In the process of finding and simplifying the difference quotient for the function f(x) = -1, Pedro writes ath * * (2 + h ) x(x+ h ) g) For each of the functions f used in parts (a)-(f) above, find the slope of the secant line passing through the points (1, f(1) ) and (4, f(4) ) using: 1. The formula 12 21; 2 Plug in appropriate values for x and h into your simplified (or rationalized) difference quotients