Answers:
Domain: [tex]\boldsymbol{(-\infty, \infty)}[/tex]
Range: [tex]\boldsymbol{(-\infty, \infty)}[/tex]
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Explanation:
domain = set of all possible x inputs
range = set of all possible y outputs
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In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.
We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]
That turns into the interval notation [tex](-\infty, \infty)[/tex]
The curved parenthesis are always used with either infinity because we cannot reach them.
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The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.
If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.
