Use the given D to find the range of each function: f(x)=x2−4, D={−14.1, 0.04, 21.06}

y = x^2-4 ???

I guess you mean domain by D
then all that means is:
find:
(-14.1)(-14.1) - 4
(.04)(.04) - 4
(21.06)(21.06) - 4
since the domain is just those three values of x, the range is those three values of y

What do you mean

you want the range. That is the set of y-values

So, given a set of x-values (the domain D), compute x^2-4 for each one. The results are the range.

I tried that

To find the range of a function f(x), we need to substitute each value in the given domain D into the function and observe the corresponding outputs. Let's go step by step through the process:

Given function: f(x) = x^2 - 4
Domain: D = {-14.1, 0.04, 21.06}

1. Substitute the first value from the domain into the function:
f(-14.1) = (-14.1)^2 - 4

Now we can calculate f(-14.1):
f(-14.1) = 197.61 - 4
f(-14.1) = 193.61

2. Substitute the second value from the domain into the function:
f(0.04) = (0.04)^2 - 4

Now we can calculate f(0.04):
f(0.04) = 0.0016 - 4
f(0.04) = -3.9984

3. Substitute the third value from the domain into the function:
f(21.06) = (21.06)^2 - 4

Now we can calculate f(21.06):
f(21.06) = 443.7636 - 4
f(21.06) = 439.7636

The outputs from the function for each input are as follows:
f(-14.1) = 193.61
f(0.04) = -3.9984
f(21.06) = 439.7636

Therefore, the range of the function f(x) = x^2 - 4 for the given domain D is the set of all these output values:
Range = {193.61, -3.9984, 439.7636}