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, ).

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)  

the range of function is all real numbers,

and the function has 2 x intercepts

Step-by-step 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

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

oof

step-by-step explanation: