Use the given D to find the range of each function:
f(x)=x2−4, D={−14.1, 0.04, 21.06}
To find the range of the function f(x) = x^2 - 4 using the given set D = {-14.1, 0.04, 21.06}, we need to substitute each value from D into the function and observe the corresponding output values.
For x = -14.1:
f(-14.1) = (-14.1)^2 - 4 = 198.81 - 4 = 194.81
For x = 0.04:
f(0.04) = (0.04)^2 - 4 = 0.0016 - 4 = -3.9984
For x = 21.06:
f(21.06) = (21.06)^2 - 4 = 443.7636 - 4 = 439.7636
The range of a function refers to the set of all possible output values. In this case, the range of f(x) is given by the set of output values for each corresponding input value from D.
Therefore, the range of the function f(x) = x^2 - 4, using the given set D = {-14.1, 0.04, 21.06}, is {194.81, -3.9984, 439.7636}.