Question

What information does the given range of (1,0) for the square root function provide, and how does it assist in determining the maximum or minimum y-value of the function?

a) The range specifies the maximum y-value, and the minimum y-value is calculated by subtracting 1 from the maximum.
b) The range indicates the minimum y-value, and the maximum y-value is obtained by adding 1 to the minimum.
c) The range signifies both the maximum and minimum y-values of the function.
d) The range only indicates the minimum y-value, and the maximum y-value cannot be determined.

Answer 1

The range (1,0) for the square root function indicates that the minimum y-value is 0 and the maximum y-value is 1. This information helps in determining the bounds of the function's output values. The correct answer is c) The range signifies both the maximum and minimum y-values of the function.

Step-by-step explanation:

The range of the square root function given as (1,0) provides important information about the function's values. In this case, 'c' The range signifies both the maximum and minimum y-values of the function is the correct choice.

The range (1,0) tells us that the maximum y-value of the function is 1, and the minimum y-value is 0.

Since the square root function outputs only non-negative values and we deal with the principal square root, 0 is the smallest value it can take (at x=0), and any positive value that the function takes will be a maximum, within the context of given constraints.

The range helps in identifying the limits of the function, thus guiding the calculation and ensuring that the y-values obtained are within the expected bounds.