The absolute value function, f(x) = |x + 2| , is shown. If the graph is reflected over the x-axis, what is the
domain of the function?
All real numbers
All real numbers greater than or equal to 0
All real numbers greater than or equal to -2
all real number is less than or equal to -2

All real numbers

Step-by-step explanation:

Domain corresponds to values of x on the x-axis here in the graph we see that the graph of f(x) = |x + 2| exists on every value of x either positive or negative like a point as (1 , 3) , (-3 , 1) , (-2 , 0) so its domain is actually

-∞ < x < ∞

meaning that the graph exists from negative infinity to positive infinity on the x-axis which means All real numbers.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!