Question

Function k is a continuous quadratic function that includes the ordered pairs shown in the table.

Over which interval of the domain is the function increasing?
A. (-[infinity], [infinity])
B. (-[infinity], 1)
C. (1, 9)
D. (9, [infinity])

Answer 1

The function is increasing over the entire domain, (-∞, ∞).

Step-by-step explanation:

To determine the interval over which a function is increasing, we need to look at the values of the function as the input variable (x) increases. In a quadratic function, the coefficient of the x^2 term determines whether the function opens upward or downward. If the coefficient is positive, the function opens upward, and if it is negative, the function opens downward. In the given options, function b. y = x^2 is a quadratic function that opens upward. Therefore, the function is increasing over the entire domain, (-∞, ∞).