Question

Select the correct answer

Given that a function, g, has a domain of -1 sxs 4 and a range of Os g(x) < 18 and that g(-1) = 2 and g(2) = 8, select the statement that
could be true for g.
a- g(5) = 12
b- g(2) = 4
c- g(3) = 18
d- 8(1) = -2

Answer 1

None of the options provided for the function g are valid, as they all fall outside either the function's domain or range, or they conflict with previously given values of the function.

Step-by-step explanation:

The given function g has a domain of –1 ≤ x ≤ 4 and a range of 0 ≤ g(x) < 18. The values given for g at certain points are g(–1) = 2 and g(2) = 8. Based on the domain, option a cannot be correct because 5 is outside of the domain of g. Option b cannot be correct since g(2) has already been defined as 8. Option c cannot be correct because 18 is not within the range of g as the range is defined as g(x) < 18. Option d seems to be a typo with the '8' possibly meant to be 'g', but regardless, g(1) cannot be –2 because that is outside the range of g. The only valid option could have been something within the domain and range specifications, but none of the options provided meet that criterion.