Question

Find the range of the function f(x) = - 1/2* x^2 - 2x + 6 .

A) [-6, [infinity])
B) (-[infinity], 6]
C) (-6,[infinity] )
D) (-[infinity], 6)

Answer 1

The range of the given function f(x) = -1/2x^2 - 2x + 6 is (-6, [infinity]).

Step-by-step explanation:

The range of a function refers to the set of all possible output values of the function. To find the range of the given function f(x) = -1/2x^2 - 2x + 6, we need to analyze its graph. Since the function is in the form of a quadratic equation, we know that its graph is a downward-opening parabola. As there is no restriction on the values of x, the range of the function is all real numbers from negative infinity to positive infinity. Therefore, the answer is option C) (-6, [infinity]).