Question

HURRY PLS !!!

Which statements about the graph of the function f(x) =2x^2 - x - 6 are true? Select two options.
The domain of the function is {xlx > 1/4}
The range of the function is all real numbers.
The vertex of the function is (1/4, -6 1/8).
The function has two x-intercepts.
The function is increasing over the interval (-6 1/8, ).

Answer 1

we have

using a graphing tool

see the attached figure

This is a quadratic equation (vertical parabola) open up

The vertex is a minimum---------> Vertex

The domain of the function is all real numbers-------> interval (-∞,∞)

The range of the function is the interval----------> [-6.125,∞)

The function has two x-intercepts-----> and

The function is increasing over the interval-----> (0.25,∞)

The function is decreasing over the interval-----> (-∞,0.25)

Answer 2

the range of function is all real numbers,

and the function has 2 x intercepts

Explanation:

super easy way to do it, look for an i in your equation, if there is none, and you dont take the square root of a negative number, all answers are real. then you can see that you function crosses the x-axis twice, meaning you have two x-intercepts