Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? check all that apply.

the domain of the function is .
the range of the function is all real numbers.
the vertex of the function is .
the function has two x-intercepts.
the function is increasing over the interval (, ∞).

we have

using a graph tool

see the attached figure

we know that

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

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

3) The vertex of the function is the point (0.25,-6.125)

4) The function has two x-intercepts-----> ( -1.5,0) and (2,0)

5) The function is increasing over the interval (0.25,∞) and decreasing over the interval (-∞,0.25)

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: