Which statements about the graph of the function f (x) = - x2 - 4x + 2 are true? Check all that apply.

-The domain is x ≤ - 2.

-The range is y.

-The function is increasing over the interval (-∞, - 2).

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

-The function has a positive y-intercept.

Question

Mathematics

Jamarcus Boone

5 June, 06:20

Which statements about the graph of the function f (x) = - x2 - 4x + 2 are true? Check all that apply.

-The domain is x ≤ - 2.

-The range is y.

-The function is increasing over the interval (-∞, - 2).

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

-The function has a positive y-intercept.

+2

Answers (2)

Know the Answer?

Laurel Haley · Answer 1

Statements 2, 3, and 5 are true based on the graph of this function.

Kadence Giles · Answer 2

Remark

There is nothing like a graph to settle arguments about which property is to be checked.

Property One

The graph's domain is (-∞
Property two

The graph says that property two is true. You could complete the square to confirm it. When you do you get

y = - (x^2 + 4x) + 2

y = - (x^2 + 4x + 4) + 2 + 4

y = - (x + 2) ^2 + 6 So the y value must be less that 6 (or equal to 6)

Property Three

Property 3 is true if you are referring to the domain and neither - 2 nor - infinity are included.

Property Four

Property Four is not true, It begins to decrease when x>-2 to + infinity

Property Five

It is positive (2).

Which statements about the graph of the function f (x) = - x2 - 4x + 2 are true? Check all that apply.-The domain is x ≤ - 2.-The range is y.-The function is increasing over the interval (-∞, - 2).-The function is decreasing over the interval (-4, ∞).-The function has a positive y-intercept.