Question

can someone show me how to find the min value for a function and show me how to determine the function's minimum y-value.

Answer 1

by using Calculus?

Answer 2

im in trigonometry at the moment

Answer 3

have you studied derivatives?

Answer 4

well there are known minimums of trig functions
eg for sine and cosine it is -1

so if you need to find the minimum value of 3 cos x it is -3

Answer 5

so if i had a function
g(x) = 2 sin(2x - π) + 4
2sinx=-2

Answer 6

minimum of 2 sinx is -2, yes

Answer 7

ok great thnx

Answer 8

how do you find the min of a regular function

Answer 9

what do you mean by a regular function ?
an algebraic function like say x^3 + x^2 - 5x - 11?

Answer 10

yeah

Answer 11

you need calculus to do that

Answer 12

f(x) = 2x^3+ 16x + 12

Answer 13

what abut for this one

Answer 14

you need to find the derivative f'(x)

Answer 15

can you show me how

Answer 16

its too much to show you in one post
if you haven't done differentiation yet

Answer 17

oh ok but thnx for the help though one last question about the trig func. though how do you find the min y-value

Answer 18

example
y = 2 cos x + 3
minimum y value = 2*-1 + 3 = 1

Answer 19

thank you sooo much your were the biggest help :3