Any is appriciated : )simplify the expression |ab| if a< 0 and b> 0simplify the expression |ab| ifa> 0 and b> 0

(a) |ab| if a<0 and b>0

since the modulus of a number no matter whether it is positive or negative gives the result as a positive number.

if a<0 and b>0 then ab<0

this implies ab is a negative number and modulus of negative number comes out to be positive term.

eg: if a= -2 and b=3

Then ab= -6

and  |ab|=|-6|=6

(b)  |ab| if a>0 and b>0.

since both a and b are positive numbers i.e. strictly greater than zero.

hence, ab>0

eg: if a=5 and b=2

then ab=10

and |ab|=|10|=10

answear:

a

step-by-step explanation: a

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.