sulfur emissions from industry combine with water in the atmosphere and form acid rain. a new factory is built very close to the lake that josh visits often. by examining the table that shows what ph range different species can survive, josh decides that the aquatic life will be affected by the changes in ph that the lake. josh correctly decides that organisms that will be the most affected are
a) perch and frogs.
b) mayfly and bass.
c) snails and clams.
d) frogs and salamanders.

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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.

that's all i luck!

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