Which of the following functions does a capsule not perform for a prokaryote? a. hiding antigens to protect from your immune system. b. protect against desiccation. c. protection from viruses. d. protection from organelles.

The correct answer is option D, that is, protection from organelles.

The capsule is regarded as a virulence factor as it increases the tendency of a prokaryote, like bacteria to cause disease. The capsule can protect the cells from engulfment by the eukaryotic cells, like macrophages, thus, it protects against the immune system. Capsules also comprise water that safeguards the cell against desiccation.

They also help to protect against viruses and the majority of hydrophobic toxic elements, like detergents. Capsules also assist cells in sticking with the surfaces.

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.