You collect a sediment core on an expedition to the Aegean Sea. In this area, the background sedimentation rate is known to be between 0.01 cm per year. You also know that about 3600 years ago, the Santorini volcanic eruption dumped 1 meter of ash on the seafloor. The top of this ash layer is noticeable in the core about 36 cm down from top (seafloor surface). When processing the core, you see a funny signal in the 18O/16O ratio around 2 meters down the core.
Use the information above to estimate about how long ago the process that caused the funny signal occurred?

they dont have any evidence

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.

the correct answer is d