What are adaptations and how do they increase an organism's fitness?

An adaptation is a characteristic which an organism has that enables its survival. For example, fish have gills to breathe underwater. This means they can respire and produce energy to move around.

Different birds have different shapes of beaks because they eat different things. Some have sharp, pointed beaks so they can find insects and worms easily in soil. Some have very long beaks so they can put them into flowers and reach the nectar easily.

Explanation:

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.