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Which graph has the following characteristics?


•three real zeros

•as x ➡️ -♾, f(x) ➡️ -♾

•as x ➡️ ♾, f(x) ➡️ ♾

(Based on the picture as well)

Please answer ASAP

Which graph has the following characteristicsthree real zerosas x fx as x fx Based on the picture as wellPlease answer ASAP class=

Respuesta :

Answer:

The graph (3) matches the criteria.

Step-by-step explanation:

See the graph attached.

Here we have to identify the graph with characteristics  

(i) Three real zeros.

(ii) As [tex]x \to -\infty, f(x) \to -\infty[/tex] and  

(iii) As [tex]x \to \infty, f(x) \to \infty[/tex]

Now, the graph (3) matches the criteria.

There are three real zeros and the right arrow and the left arrow suggests that as [tex]x \to -\infty, f(x) \to -\infty[/tex] and as [tex]x \to \infty, f(x) \to \infty[/tex]. (Answer)

MrRoyal

Graph (3) has three real zeros, and the values of x and f(x) approach infinity and negative infinity at the same time

(a) Graphs with three zeros

This means that the graph crosses the x-axis three times

  • Graphs (1) and (3) have this characteristic, because the graphs cross the x-axis three times
  • Graphs (2) and (4) do not have this characteristic

(b) As x approaches negative infinity, f(x) approaches negative infinity

This means that the values of x and f(x) decrease at the same time

Only graph (3) have this characteristic

(c) As x approaches infinity, f(x) approaches infinity

This means that the values of x and f(x) increase at the same time

Only graph (3) have this characteristic

Hence, graph (3) has the given characteristics

Read more about graphs at:

https://brainly.com/question/11808280

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