Question

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 (, ∞).

Answer 1

Options C and D

Explanation:

100% on Edge

Answer 2

we have

`f(x) = 2x^(2)- x -6`

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)