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Which statements about the graph of the function f(x) =2x²-x-6 are true? Select two options.The domain of the function is {x1x >The range of the function is all real numbers.The vertex of the function is 4.-6.The function has two x-intercepts.The function is increasing over the interval (-6, 00).

Answer :

Explanation

We are given the function:

[tex]f(x)=2x^2-x-6[/tex]

We are required to determine which of the following statements are true:

• The domain of the function is {x1x >

,

• The range of the function is all real numbers.

,

• The vertex of the function is 4.-6.

,

• The function has two x-intercepts.

,

• The function is increasing over the interval (-6, 00).

By graphing the function given, we have:

From the graph, we can observe the following:

The function has two x-intercepts.

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