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?

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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?

Mathematics
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what is the smallest output of sin(x)

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i dont get how to do the first and last one
are you able to graph with a calculator?
no mine ran out of battery
ok we can use desmos. It's a free online graphing calculator https://www.desmos.com/calculator
okay what do i do? lol
do you see where you type in the functions?
it's on the left side in the boxes
yes
what type of graph do you see for the f(x)
good
so how do i know whagt the min is?
what is the smallest y value that the function produces?
1?
|dw:1435538454165:dw|
-1*****
-1 yes
now look at the table for g(x) what is the smallest y value?
so for g(x) it would be -1?
yes
to do h(x), follow the same steps as f(x)
-1 so theyre all the same
help with one more please??
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)
to make things easier to see, make sure the color of each graph is different
use the same app?
yes, clear out everything from before
okay can i do it and then you check??
sure
if things get too cluttered, you can individually turn off graphs so they don't show up on the display
I have no idea how to figure out what points match..
yeah it's a mess lol
what I'd do is look at each one individually one at a time turn off graphs 2-4 and focus on graph 1
you turn the graph on/off by clicking the squiggly line under the graph number
how do you know because the points are just 1-5 as for on the question theyre like 3pi/2
were you able to turn off the other graphs except graph 1?
yes. I know it is not graph one because it turns the wrong way
which have you eliminated so far? other than 1 of course
i feel like its this one because it goes through 0 like the one in the question
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
Thank you so much! this website app thing helped alot!
yeah it's very neat
you're welcome

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