Question

how can we now the max and the min of a function without graphing it eg:Y=-2sin 1/3(X-45°)+4(one third all times x-45)

Answer 1

Are you familiar with differentiation?

Answer 2

no

Answer 3

there must be a way that you can tell without graphing just by looking at the func do u know any?

Answer 4

yes, you need to know the min/max of the sine function
So you?

Answer 5

that is do you? :)

Answer 6

is one and -1

Answer 7

for sine

Answer 8

yes, for sinx

Answer 9

but how can i find for this fcn? is it max 6 and min -6?

Answer 10

what do you need to know? Where it has max/min, or what is the max/min?

Answer 11

what is the max and min because it has max and min it is a logaritmic fcn

Answer 12

we know the amplitude that is 2 but how does it help?

Answer 13

than you need to know where does sinx has min/max

Answer 14

than you can compare, so do you know or not?

Answer 15

sorry i need to know the max and min value of y ;)

Answer 16

that is just -2, 2

Answer 17

no it is not that

Answer 18

or the +4 is outside than 2, 6

Answer 19

max 6 and min -2?

Answer 20

No. Min 2 max 6
As sinx goes from -1 to 1
-2sinx goes from -2 to 2
and you add 4 for all values so min: -2+4=2
max:2+4=6

Answer 21

thnx a lot