answersLogoWhite

0

Assuming that is: f(x) = 4x^2 + 24x + 4

Completing the square gives:

f(x) = (2x + 6)^2 - 32

Square numbers are always greater than or equal to 0, so the value of f(x) has a minimum value of -32.

There is no upper limit to a square number, so f(x) can have as positively large a value as you like.

Thus the range of f(x) is: f(x) ≥ -32.

If the assumption is wrong, please re-submit using words for plus, minus, equals, etc.

User Avatar

Wiki User

10y ago

What else can I help you with?

Related Questions

Factor the trinomial 4x2 plus 24x plus 11?

The quadratic 4x2+24x+11 = (2x+1)(2x+11)


What is the domain of the continuous quadratic function y equals 4x2 plus 2?

The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.


What is the range of the function y -4x2 1?

y = -4x2 + 1 Range = {y:y=<1, y is an element of the reals}


Is y equals 4x a quadratic equation?

No. [ y = 4x2 ] is a quadratic equation.


Is 4x2 plus 24x plus 18 a perfect square trinomial?

false!


Does anyone know how to factor 4x2 - 24x plus 52?

4(x2 - 6x + 13)


F(x)4x2 plus 16x plus 8?

All that can be said is that F(x) is a quadratic function of x, with two real roots.


How do you Find the equation of a quadratic function with solutions of -2 and ¾?

If: x = -2 and x = 3/4 Then: (4x-3)(x+2) = 0 So: 4x2+5x-6 = 0


What is the factored quadratic formula of 4x2 plus 8x-5?

(2x - 1)(2x + 5)


What is the quotient and remainder when 8x cubed minus 24x plus 9 is divided by 2x minus 3?

4x2 + 6x - 3 (with no remainder)


What is the answer to -4x2 minus 32x plus x plus 8 equals 8x2 minus 56x?

-4x2 - 32x + x + 8 = 8x2 - 56x : simplify and group the various terms-32x + 56x + x + 8 = 8x2 + 4x225x + 8 = 12x2 : Now present this as a standard quadratic equation.12x2 - 25x - 8 = 0 : Solving for the roots of a quadratic equation gives :-x = [25 ± √(252 + 4x12x8)] ÷ 2x12 = [25 ± √1009] ÷ 24 = [25 ± 31.765] ÷ 24x = 56.765/24 = 2.365 and x = -6.765/24 = -0.282x = 2.365 and -0.282


What equation could you use to solve o equals 4x2-3x-2?

Quadratic equation formula