Q:

# Help plz!!! The following graph describes function 1, and the equation below it describes function 2: 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 ______ has the larger maximum. (Put 1 or 2 in the blank space)

Accepted Solution

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Answer with explanation:→→→Function 1 f(x)= - x²+ 8 x -15Differentiating once , to obtain Maximum or minimum of the function f'(x)= - 2 x + 8Put,f'(x)=0-2 x+ 8=02 x=8Dividing both sides by , 2, we getx=4Double differentiating the functionf"(x)= -2, which is negative.Showing that function attains maximum at ,x=4.Now,f(4)=-4²+ 8× 4-15            = -16 +32 -15           = -31 +32           =1→→→Function 2: f(x) = −x² + 2 x − 3Differentiating once , to obtain Maximum or minimum of the functionf'(x)= -2 x +2Put,f'(x)=0-2 x +2=02 x=2Dividing both sides by , 2, we getx=1Double differentiating the function,givesf"(x)= -2 ,which is negative.Showing that function attains maximum at ,x=1.f(1)= -1²+2 ×1 -3    = -1 +2 -3   = -4 +2  = -2⇒⇒⇒Function 1  has the larger maximum.