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The graph of f(x) has zero x-intercepts.

The graph of f(x) has exactly one x-intercept.
The graph of f(x) has exactly two x-intercepts.
The graph of f(x) has infinitely many x-intercepts.

If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

User Owen Gerig
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2 Answers

6 votes
The graph of f(x) has exactly two x-intercepts.
User Gustav Barkefors
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3 votes

Answer:

option b.

The graph of f(x) has exactly one x-intercept.

Explanation:

Given that the function f(x) is a linear function defined for all real values of x.

Thus graph of f(x) would be a straight line cutting x axis exactly at one point.

Hence f(x) cannot have two intercepts or infinitely many intercepts.

zero intercept is possible only if the function is constant as y=a

Thus out of the four options given the correct option is

option b.

The graph of f(x) has exactly one x-intercept.

User Hazzit
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