For the following problem, (i) graph f and g in the same coordinate system; (ii) solve f(x) = g(x) algebraically to two decimal places; (iii) solve f(x) > g(x) using parts i and ii; (iv) solve f(x) < g(x) using parts i and ii.f(x) = -0.8x(x - 8), g(x) = 0.4x + 3.2; 0 ? x ? 10 

A. (i) f is the curve, g is the line  

(ii) 0.58, 6.92
(iii) 0.58 < x < 6.92
(iv) 0 ? x < 0.58 or 6.92 < x ? 8

B. (i) f is the curve, g is the line  

(ii) 0.61, 7.98
(iii) 0.61 < x < 7.98
(iv) 0 ? x < 0.61 or 7.98 < x ? 8

C. (i) f is the curve, g is the line  

(ii) 0.58, 7.98
(iii) 0.58 < x < 7.98
(iv) 0 ? x < 0.58 or 7.98 < x ? 8

D. (i) f is the curve, g is the line  

(ii) 0.61, 7.02
(iii) 0.61 < x < 7.02
(iv) 0 ? x < 0.61 or 7.02 < x ? 8


Answer: A

Mathematics

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