Compare the following functions:

Question

marcon · Answer

f(x) = –4sin(x - 0.5) + 11

marcon · Answer

h(x)

x	y
–2	14
–1	9
0	6
1	5
2	6
3	9
4	14

marcon · Answer

attachment

marcon · Answer

Which function has the smallest minimum? 
 	
	All three functions have the same minimum
	f(x)
	g(x)
	h(x)

marcon · Answer

@jim_thompson5910 @amistre64

marcon · Answer

@jagr2713

marcon · Answer

@geerky42 @acxbox22 @mathmath333

marcon · Answer

@liljj1421

geerky42 · Answer

Can you find the minimum of f(x)?

geerky42 · Answer

value of sin(x) can only be in between -1 to 1 inclusive, right?

geerky42 · Answer

Can you find the minimum of f(x)?

marcon · Answer

idk how to

geerky42 · Answer

You know, value of sin(x) can only be between 1 to -1

So value of -4sin(x) can only be in between 4 and -4

Since we want min value, we would go with -4, right?

min[ f(x) ] = -4 + 11 = ?

marcon · Answer

I meant 7

geerky42 · Answer

yeah, so min value of f(x) is 7.

What about g(x)?

marcon · Answer

idk that one too...

marcon · Answer

hey @geerky42 can you help me with the rest?

marcon · Answer

@Loser66

loser66 · Answer

So far, the minimum value of f(x) is 7
                                          of h(x) is 5
now you need g(x) right?

loser66 · Answer

look at y value of the vertex. that is minimum of g(x) |dw:1433039067433:dw|