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What is the answer for question 2) ? http://postimg.org/image/zft18m0fb/ (Reminder) :...

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lkballer24 | Student, Grade 11 | Valedictorian

Posted August 3, 2013 at 7:27 PM via web

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What is the answer for question 2) ?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 3, 2013 at 7:40 PM (Answer #1)

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The function `g(x) = (-3x^3)/4 + 3x` . A secant line to any curve is one that intersects two points on it.

To determine the slope of the secant line between points representing x = a and x = b, evaluate g(a) and g(b). The slope is given by `(g(b) - g(a))/(b - a)` .

For the given function, the slope of the secant line in the interval x = 1 and x = 2 is: `S = (g(2) - g(1))/(2-1)`

= `((-3*2^3)/4 + 3*2 + (3*1^3)/4 - 3*1)/(2 - 1)`

= `((-3*8)/4 + 6 + 3/4 - 3)/1`

= `(-6 + 6 + 3/4 - 3)/1`

= `(3/4 - 3)/1`

= -2.25

Similarly the slope of the secant line in the other intervals can also be determined.

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