The sum of a number and its additive inverse is always

The sum of a number and its additive inverse is always 0.

Step-by-step explanation:

Additive inverse is basically like a negative of a number so like if 15 is the number, its additive inverse is -15 and if a number is -15, its additive inverse is 15. You basically multiply (-1) to the number to get its additive inverse and their sum is always 0 because they just cancel each other out.

E.g. 15 + (-15) = 15-15

                     = 0

      (-15) + 15 = 0

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph