Find the range of the function. f (x) = 10-x^2

range = x ≤ 10

Step-by-step explanation:

Given in the question the function

f (x) = 10-x^2

The range of a function is the complete set of all possible resulting values of the dependent variable F (x) after we have substituted the domain which is the values of x.

domain = set of all integers

range = x ≤ 10

f (x) = 10-x²

since any negative value of x will be positive with squared so we will start from 0

f (0) = 10-0² = 10

f (1) = 10 - 1² = 9 = f (-1) = 10 - (-1) ²

... and so on.