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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

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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. In the process of finding the difference quotient for the function f(x) = -312 + 2 +1, Malik writes -3(x + h)2+ 2x+1 - (312+ 2x + 1) h (b) In the process of finding the difference quotient for the function f(x) = 7, Joan writes f( 7 + h) - f() h (c) In the process of finding the difference quotient and rationalizing the numerator for the function f(x) = VI, Bernard writes Vath - Vh Vath+ Vh h Vath+ Vh (d) In the process of finding the difference quotient and rationalizing the numerator for the function f(x) = 2vr, Greta writes 2vath -2Vx 2vath+2Vx 4x +h - 4x h 2Vath+2VI h . 2VI +h+2Vx

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