Which of the following are some of the sections of Darwin’s theory of evolution by natural selection? (Choose all that apply) [[ you have to choose 3. ]]

1.) competition
2.) fitness
3.) overproduction
4.) differential reproduction

- competition

 overproduction

-  differential reproduction

explanation:

- Competition

According to Darwin, Competition refers to the struggles that living organisms have to face on day to day basis in order to obtain enough resources (such as food and water) To survive.

- Overproduction

Charles Darwin stated that overproduction is organisms' tendency to produce more offspring than what they could realistically sustain. Darwin believe that they did this because there is always a chance that the offsprings might got killed and unable to obtain food before they can reproduce again. Overproduction ensure that their genetic line can continue for as long as possible.

- differential reproduction

Darwin believe that organisms have a tendency to reproduce with other organism if they have a certain unique characteristics that help them survive. (Such as more strength, better beak shapes, Longer necks, etc)

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.