A satellite camera in space took this picture of northwestern Algeria, showing an impact crater, sedimentary rock layers, and a stream channel flowing out of the crater. Algeria is at the northern end of the African continent. The Algerian landscape includes a large portion of the Sahara Desert and two mountain ranges. Based on evidence in the picture, how has this area been affected by geologic processes?

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.

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explanation:

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