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 0
We 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 ---->9
1 -----> 4 ----> 4
2 -----> 8 ---->-11
3 -----> 4 ---->-36
4 -----> 0 ----> -71
From 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.
