Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?

Which statement best compares the maximum value of the two functions? A. It is equal for both functions B. It is 3 units higher for f(x) than g(x) C. It is 3 units lower for f(x) than g(x) D. It is 1 unit higher for f(x) than g(x) Solution : D. It is 1 unit higher for f(x) than g(x) Given:f(x) = −5x^2 + 9 g(x) is 0 0 1 4 2 8 3 4 4 0We make a table for f(x) as well. We use same x vales given in g(x)We plug in x values and find f(x)x -----> g(x) ----> f(x) 0 -----> 0 ---->91 -----> 4 ----> 42 -----> 8 ---->-113 -----> 4 ---->-364 -----> 0 ----> -71From the table we can see that maximum value of g(x) is 8 and maximum value of f(x) is 9 that is 1 unit higher for f(x) than g(x)Answer is option D.