Compare the functions below:
f(x) = −3 sin(x − π) + 2
g(x)
x y
0 8
1 3
2 0
3 −1
4 0
5 3
6 8
h(x) = (x + 7)2 − 1
Which function has the smallest minimum?

- anonymous

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- anonymous

@dan815 @Data_LG2 @taramgrant0543664 @mathmate

- anonymous

@jim_thompson5910 @Teddyiswatshecallsme @Hero @Phebe @Luigi0210 @Destinyyyy

- jim_thompson5910

what is the smallest output of sin(x)

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## More answers

- anonymous

i dont get how to do the first and last one

- jim_thompson5910

are you able to graph with a calculator?

- anonymous

no mine ran out of battery

- jim_thompson5910

ok we can use desmos. It's a free online graphing calculator
https://www.desmos.com/calculator

- anonymous

okay what do i do? lol

- jim_thompson5910

do you see where you type in the functions?

- jim_thompson5910

it's on the left side in the boxes

- anonymous

yes

- jim_thompson5910

what type of graph do you see for the f(x)

- jim_thompson5910

good

- anonymous

so how do i know whagt the min is?

- jim_thompson5910

what is the smallest y value that the function produces?

- anonymous

1?

- jim_thompson5910

|dw:1435538454165:dw|

- anonymous

-1*****

- jim_thompson5910

-1 yes

- jim_thompson5910

now look at the table for g(x)
what is the smallest y value?

- anonymous

so for g(x) it would be -1?

- jim_thompson5910

yes

- jim_thompson5910

to do h(x), follow the same steps as f(x)

- anonymous

-1 so theyre all the same

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- anonymous

help with one more please??

- anonymous

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- jim_thompson5910

you're given a list of 4 choices
I would plot each choice and see which one lines up with the given graph (focus on points like (0,0) and (pi, 0), etc)

- jim_thompson5910

to make things easier to see, make sure the color of each graph is different

- anonymous

use the same app?

- jim_thompson5910

yes, clear out everything from before

- anonymous

okay can i do it and then you check??

- jim_thompson5910

sure

- jim_thompson5910

if things get too cluttered, you can individually turn off graphs so they don't show up on the display

- anonymous

I have no idea how to figure out what points match..

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- jim_thompson5910

yeah it's a mess lol

- jim_thompson5910

what I'd do is look at each one individually one at a time
turn off graphs 2-4 and focus on graph 1

- jim_thompson5910

you turn the graph on/off by clicking the squiggly line under the graph number

- anonymous

how do you know because the points are just 1-5 as for on the question theyre like 3pi/2

- jim_thompson5910

were you able to turn off the other graphs except graph 1?

- anonymous

yes. I know it is not graph one because it turns the wrong way

- jim_thompson5910

which have you eliminated so far? other than 1 of course

- anonymous

i feel like its this one because it goes through 0 like the one in the question

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- jim_thompson5910

very good
you can click on the x-intercepts and the point coordinates will show up
you'll see (0,0), (pi,0), (2pi,0), etc

- anonymous

Thank you so much! this website app thing helped alot!

- jim_thompson5910

yeah it's very neat

- jim_thompson5910

you're welcome

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