The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1). Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).

Respuesta :

Answer:

A.) Function one has a larger maximum at (4,1)

Step-by-step explanation:

The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A function can be regarded as a computer, which is helpful.

Given 1 function,

f(x) = -x² + 8x - 15  

f(x) = -(x² - 8x + 15 )

f(x) = - [(x - 4)² - 16 + 15 ]

f(x) = -(x-4)² + 1

So vertex will at ( 4,1 )

In function 2,

f(x) =  −x² + 2x − 3

f(x) = - [ x² - 2x + 3 ]

f(x) = -[ (x-1)² - 1 + 3 ]

f(x) = - (x-1)² - 2

So vertex will at ( 1, -2 )

Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2

Hence Function 1 has the larger maximum at (4, 1).

For more about the function

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