Potato farmers in ireland during the mid 1800s all grew the same type of potato. the potato plants were all produced as clones of one another. when a fungus infected the crop all of the potatoes were destroyed. this occurred because these potato plants) a. had little genetic variability) b. had increase biodiversity) c. were the product of fertilization) d. were the result of biotechnology

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.