In Exercises 31-36, sketch the graph of the given/unction, evaluate the given expressions, and then use technology to duplicate the graphs. Give the technology formula. [ HINT: See Example 2.) f ( x ) = { − 1 if − 4 ≤ x < 0 x if 0 ≤ x ≤ 4 a. f ( − 1 ) b. f ( 0 ) c. f ( 1 )
In Exercises 31-36, sketch the graph of the given/unction, evaluate the given expressions, and then use technology to duplicate the graphs. Give the technology formula. [ HINT: See Example 2.) f ( x ) = { − 1 if − 4 ≤ x < 0 x if 0 ≤ x ≤ 4 a. f ( − 1 ) b. f ( 0 ) c. f ( 1 )
In Exercises 31-36, sketch the graph of the given/unction, evaluate the given expressions, and then use technology to duplicate the graphs. Give the technology formula. [HINT: See Example 2.)
A national consumers’ association determines that x years after its founding in 1998, it will have P(x) members, where P(x) = 2x3 - 45x2 + 264x in hundreds.
a). When was the membership the largest between 2000 and 2013, that is, 2 < t < 15?
b). When was the membership the smallest between 2000 and 2013, that is, 2 < t < 15?
(a) Compute (b) Use part (a) to find the maximum profit, and write the value of Q for whichthe maximum is attained.
Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.
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