Functions f(x) and g(x) are described as follows:

f(x) = −2x2 + 3

x g(x)
0 0
1 2
2 3
3 2
4 0

which statement best compares the maximum value of the two functions? (1 point)

it is equal for both functions.
it is 2 units higher for f(x) than g(x).
it is 2 units lower for f(x) than g(x).
it is 1 unit higher for f(x) than g(x).

Option 1 - It is equal for both functions.

Step-by-step explanation:

Given : Functions f(x) and g(x) are described as follows:

xg(x)

00

12

23  

32

40              

We have to find which statement best compares the maximum value of the two functions.

So, We find it with the help of graph.

Refer the attached figure below.

From the graph of the function f(x) we see that the maximum value attained by the function is 3 when x=0.

So, the maximum value of f(x) is 3.

Also from the set of values of function g(x) the maximum value attained by g(x) is at the value of x=2 g(x) is 3.

So, the maximum value of g(x) is 3.

Hence, The maximum value of both the functions are equal.

Therefore, Option 1 is correct.