Respuesta :
Answer: Local Max = (-1, 0)
Local Min = (1, -8)
Step-by-step explanation:
f(x) = (x + 1)² (x - 3)
Step 1: Find the zeros
(x + 1)² = 0 --> x = -1 (multiplicity of 2)
(x - 3) = 0 --> x = 3
Step 2: Find the Vertices
x = -1 --> (multiplicity is even which means this is a vertex)
The midpoint between x = -1 and x = 3 is x = 1
Step 3: Find the Local Max and Local Min
Use the x-value above to find the y-values
f(-1) = 0 because it is a zero
f(1) = (1 + 1)² (1 - 3)
= 2²(-2)
= 4(-2)
= -8
Conclusion:
(-1, 0) is the Local Max bigger y-value
(1, -8) is the Local Min smaller y-value
Answer:
f ( x ) = ( x – 3) 2 – 4; the minimum value is –4
Step-by-step explanation:
Given the function f ( x ) = x 2 – 6 x + 5, write an equivalent form of the function that reveals the minimum or maximum value of the function and state the minimum or maximum value.
f ( x ) = ( x – 3) 2 – 4; the minimum value is –4
( This The correct question to answer?) can't deleted..