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 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 answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

do it yourself this is easy

step-by-step explanation: