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[answered] 1) Find a function f such that it is both even and odd. 5)


1)?? ?Find a function f such that it is both even and odd.

5)?? The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24800) and (3, 26600).

Year, x

1990, 0

1991, 1

1992, 2

1993, 3

1994, 4

Salary, y

$23,500

$24,800

$25,200

$26,600

$27,200

16)???? A function f(x), a point c, the limit of f(x) as x approaches c, and a positive number ? are given. Find a number ? > 0 such that for all x, 0 < |x - c| < ? ? |f(x) - L| < ?.

f(x) = -2x - 6, L = -12, c = 3, and ? = 0.01


18)??? The slope of the line tangent to the graph of y = lnx2 at x = e2


19)??? If F(x) = x sin x, then find F ' (3pi/2)


20)?? If ?H(x) = x3 - x2 + 1/x, which of the following is H ''(2)?




1) Yes. The constant function f ( x )=0 is even and odd function

 

Here f ( x )=0 is even function because f (?x )=0=f (x )

 

Also here f ( x )=0 is odd function because f (?x )=0=?f ( x )...

 


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