100 POINTS Consider the following algebraic statements and determine the values for x for which each statement is true. On a number line, show the rest of all points corresponding to the values of

a) x: x=|-x|

b) |x|=x

A is true   (maybe, what is that x:  at the beginning... maybe this one is false)

B is true

Step-by-step explanation:

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.