The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 + 5 x g(x) 0 0 1 1 2 5 3 1 4 0 which of the following statements best compares the maximum value of the 2 functions? it is the same for both functions. f(x) has a greater maximum value than g(x). g(x) has a greater maximum value than f(x). the maximum values cannot be determined.

The equation describes a function whose maximum value is 5. The data set describes a function whose maximum value is also 5. Comparing the maximum values, we must conclude ...

... It is the same for both functions.

_____

Please note that the premise is that g(x) is a quadratic function. It is definitely NOT a quadratic function in the usual sense of the term.

the answer is d. 75%

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.