Which of your fossils are most likely heterotrophs? Which of them are autotrophs? How do you know?

The fossil that I believe are heterotrophs cannot produce their food which includes all animals, fungi, and most bacteria and protists. These fossils are A, C, and fossil D. The other kind of fossil is an autotroph which is an organism that can produce its own food using light, water, carbon dioxide, or other chemicals. This kind of fossil is fossil B.

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.