natelaughlinn1 natelaughlinn1
  • 13-06-2020
  • Mathematics
contestada

A periodic graph has an amplitude of 5 and a minimum value of -2. Find the maximum value.

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  • 13-06-2020

Answer:

The max. value is 8

Step-by-step explanation:

Periodic graph usually refers to either sin or cos(both work)

The value of max. and min. are not affected by the period of the function, just how often the values are reached.

[tex]y=Asin(x) +B[/tex]

sin is at a min at x=3pi/2 + 2(pi)k

-2 =5(-1) + B

B = 3

so y = 5sin(x) +3

sin is at a max at x = pi/2 + 2(pi)k

y = 5(1) + 3

y = 8

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