Compare the function f(x) 2x^3-4x^2+6 with function g(x) shown in the table.?

(a) How does the y-intercept of f(x) compare to that of g(x)?

(b) Shayna is certain that both f(x) and g(x) are increasing on the interval (3,6). Is she correct? Explain your response.

(c) How does the average rate of change on the interval (3,6) of f(x) compare to that of g(x)?


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1 Answer

  • ted s
    Lv 7
    8 months ago

    y intercept for g < than that of f ;  f ' > 0  and it appears that g ' > 0 on [ 3,6]...but g ' could be < 0 at points which are not integers ; average of  g over [ 3 , 6 ] is 3 units while for f it is 18 units

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