Apopulation of bacteria is treated with an antibiotic. because of variation in the population of bacteria, what is a possible outcome of the treatment? a) the population will increase rapidly. b) all of the bacteria will be resistant to the antibiotic. eliminate c) the population will be better able to obtain a food source. d) some of the bacteria may be resistant to the antibiotic and survive.

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.