Given a function f(x)=|x+1|-|x-2| How many solutions has f(x) = a, in respect of a?
If a E{-3, 3}, number of solutions is
if a € (-3, 3) number of solutions is
if a E (-infinity,-3) U (3,infinity) number of solutions is

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: f = 32.2m

step-by-step explanation: that is the answer

4+3x is the answer

hope you got it