If a = {x | x is an even integer}, b = {x | x is an odd integer find a u b

A U B = {x|x is an integer}

Step-by-step explanation:

If A={x|x is an odd integer} then:

A = 1, 3, 5, 7, 9, 11, etc.

(Negative odd integers are also included)

and B= {x|x is an even integer}  

A = 2, 4, 6, 8, 10, 12, 14, etc.

(Negative even integers are also included)

We have that a u b is going to be the set of all integer numbers. That is to say:

A U B = {x|x is an integer}

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

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