Question

For the function f(x) = x^2.5, what is the range of the function when the domain is {2, 4, 7)?

a) {6, 21, 54}
b) {-1.44}
c) {-1, 11, 44}
d) {-1, -5}

Answer 1

The range of the function f(x) = x^2.5 with domain {2, 4, 7} is {5.6569, 32, 109.8688}.

Step-by-step explanation:

The function f(x) = x^2.5 is defined in terms of x raised to the power of 2.5. To find the range of the function when the domain is {2, 4, 7}, we need to calculate the corresponding values of f(x) for each x in the domain.

For x = 2, f(2) = 2^2.5 = 5.6569.

For x = 4, f(4) = 4^2.5 = 32.

For x = 7, f(7) = 7^2.5 = 109.8688.

Therefore, the range of the function is {5.6569, 32, 109.8688}.