The ability of an atom to attract shared electrons is called its

Electronegativity

Electronegativity, representation χ, is a chemical property that represents the tendency of an atom to draw a shared pair of electrons towards itself. An atom's electronegativity is influenced by both its atomic number and the distance at which its valence electrons lies from the charged nucleus.

but there is no

i guess you forgot putting it.

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.