MATH SOLVE

2 months ago

Q:
# Functions f(x) and g(x) are described as follows: f(x) = β5x2 + 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?

Accepted Solution

A:

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) = β5x^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.