Certain fossils, such as Trilobites found after the Cambrian explosion, are found in the same geologic time period all over the world. What is the importance of fossils that are consistently found in the same geologic time period?

Fossils consistently found in the same geologic time period allow us to infer that the organisms whose fossils are found were prevalent/widespread to a certain extent during that time period.

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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.