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nadya68 [22]
3 years ago
7

Which could be the entire interval over which the function f(x) is positive

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

(-\infty,-2) \cup(2,\infty)

<h2>Explanation:</h2>

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:

f(x)=x^2-4x

So we need to find the entire interval at which this function positive. Put another way:

f(x)>0

By using graphing tool, we get the graph shown below. As you can see:

  • The function decreases from x=-\infty \ to \ x=0
  • The function increases from x=0 \ to \ x=\infty
  • 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 (-\infty,-2) \cup(2,\infty)

At this interval the function is positive, that is, f(x)>0

<h2>Learn more:</h2>

Standard equation of the graph of a parabola:

brainly.com/question/12896871

#LearnWithBrainly

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