[tex](-\infty,-2) \cup(2,\infty)[/tex]
Explanation:
Remember you need to write complete questions in order to find exact answers. In this way you haven't provided any function, so I'll choose a quadratic function given by:
[tex]f(x)=x^2-4x[/tex]
So we need to find the entire interval at which this function positive. Put another way:
[tex]f(x)>0[/tex]
By using graphing tool, we get the graph shown below. As you can see:
- The function decreases from [tex]x=-\infty \ to \ x=0[/tex]
- The function increases from [tex]x=0 \ to \ x=\infty[/tex]
- The graph of the function is a parabola that opens up.
But what is really importan in this problem is that:
- The function is positive over the interval [tex](-\infty,-2) \cup(2,\infty)[/tex]
At this interval the function is positive, that is, [tex]f(x)>0[/tex]
Learn more:
Standard equation of the graph of a parabola:
https://brainly.com/question/12896871
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