Which statements about the graph of the function f(x) = -x2 - 4x + 2 are true? Select three options.
The domain is (x|x 5-2).
The range is bly s 6).
The function is increasing over the interval (-, -2).
The function is decreasing over the interval (-4,co).
The function has a positive y-intercept.

The correct statements are the following:

"The range is bly s 6)."

"The function is decreasing over the interval (-4,co)."

"The function has a positive y-intercept."

Step-by-step explanation:

The domain of this function is all real values of since there isn't any number where the function is undefined and value of cannot be calculated.

The range of this function refers to the possible values of when you input a certain value for . At x = -1 and x = 2, the value of f(x) comes out to be 6. The range is all real numbers -3.

The in the function has a negative sign with it and hence, it is a decreasing quadratic function.

The y-intercept is positive as you can tell from the value given in the function as '+2'

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option