Question

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?

Answer 1

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.