Question

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

Answer 1

Answer:

Option 1 - It is equal for both functions.

Step-by-step explanation:

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

$f(x) = -2x^2 + 3$

x g(x)

0 0

1 2

2 3  

3 2

4 0              

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.

Answer 2

The right answer for the question that is being asked and shown above is that: "It is 1 unit higher for f(x) than g(x)." the statement that best compares the maximum value of the two functions is that It is 1 unit higher for f(x) than g(x).