Question

Find the range of f(x) = x^2 + 6 for the domain (-1, 3, 7, 9).

a) [5, [infinity])
b) [-1, [infinity])
c) [6, [infinity])
d) [7, [infinity])

Answer 1

The range of the function f(x) = x^2 + 6 for the given domain (-1, 3, 7, 9) is [7, 87].

Step-by-step explanation:

The range of the function f(x) = x^2 + 6 for the given domain (-1, 3, 7, 9) can be found by evaluating the function for each value in the domain and determining the minimum and maximum values. Substituting the domain values into the function, we get:

f(-1) = (-1)^2 + 6 = 7

f(3) = 3^2 + 6 = 15

f(7) = 7^2 + 6 = 55

f(9) = 9^2 + 6 = 87

Therefore, the range of f(x) is [7, 87] and the correct option is d) [7, [infinity]).