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Sloan [31]
3 years ago
14

determine whether each statement is always, sometimes, or never true. an absolute value function of the form f(x)=/x+a/+b has ex

actly one x intercept.

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

<u>Answer-</u>

<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>

<u>Solution-</u>

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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