domain: They show which bits of x-axis count
range: They show which bits of y-axis count
range: Graph does not go up to y=2
It stops at y=0 (x-axis)
How does one use the graph of a function to find the domain and range?
domain: Look at where the graph goes from side to side
Does it quit (like with square roots) or have gaps (like with vert. asymps), or does it go everywhere?
Domain is wherever graph goes along x-axis
(not necessarily right next to the axis but you can trace up or down from the axis to the graph)
range: Look at where the graph goes from bottom to top
Does it quit (like with parabolas) or have gaps (like with hor. asymps), or does it go everywhere?
Range is wherever graph goes along y-axis
(not necessarily right next to the axis but you can trace right or left from the axis to the graph)
Given A(x) = 4x•sqrt{1 - x^2}, find the domain of A.
Theres a way to do this so you dont have to try to go from 'x<=1' to '-1<=x<=1'
This gives you two sol'ns: x=1, x=-1
Also you know shape of quadratics like y=x^2-1:
<=0 between sol'ns (when its positive like this)
This lets you go to
]]>Try desmos.com or mathway.com for graphing.
YOu can do graphing on your phone
Go to Google Play Store
In 'search' box enter 'Graphing calculator plus 84 83'
Install app to get TI-84 emulator on your phone
TI-84 can do things like find the minimum on a graph
(and there's lots of tutorials, how-to's, etc online for Texas Instruments TI-84)
...the path of the ball can be modeled by the function h(x) = -(136x^2)/(v^2) + 2.7x + 3.5, where h is the height of the ball above the floor, x is the forward distance of the ball in front of the foul line, and v is the initial velocity with which the ball is shot in feet per second.
Part B. Write a function for the path of the ball using the velocity found in part A above.
I need help for part B.
Once you get the number for 'v' from part 'A', plug that into the eqn they gave you
(and maybe simplify)
That's all they want for this part
Part D. To find additional points, I must create a table in terms if x and h(x).
What were the instructions for this part?
(it's not in your first post, i don't think?)
Can you show me STEP BY STEP how to upload photos here using an android phone?
Open google play store
Select 'search'
Enter 'carbon browser'
Select and install
Open carbon brwoser
Enter url for image that you uploaded
Long-press image (hold you finger on the image until a menu pops up)
Select 'open image in new tab'
Go to new tab
Press url box (it should look like i.imgur.io/[bunch of characters].webp?[query string]
note: [bunch of characters] in the new tab will NOT be the same as the [bunch of characters] in the original tab!!!
Select edit (pencil icon)
Erase (back-space) from the end until you get to the .webp
Replace .webp with .jpg
Select 'go' at bottom of keyboard
Your image should disply alone on the page
Copy new url and paste between [ img] [ /img] tags (without the extra spaces of course)
With your image from another thread i got this:
i.imgur.io/7uB3NEl_d.jpg
I removed the '_d' to get i.imgur.io/7uB3NEl.jpg
Putting it between the 'img' tags does this:
if you dont delete the underscore-d then you get a thumbnail (?) thats pretty small:
]]>
The points for these two are (6,1) and (6,0). The dependent numbers are 1 and 0, ....... no 6 please.
Bob
Yes, you are right.
Then, 1 - 0 = 1 and 0 - 1 = -1.
]]>I got it like this:
If the numbers are doubling then the formula ought to involve powers of two
n power of 2
1 2
2 4
3 8
4 16
5 32
6 64However this fails to generate the right sequence. Each term needs a further amount so I wrote down this amount.
2 + 0 = 2
4 + 1 = 5
8 + 3 = 11
16 + 7 = 23
32 + 15 = 47
64 + 31 = 950, 1, 3 etc are one short of the previous power of 2, so I ended up with
This is the same as KerimF's as the following shows:
Bob
Your steps are so much better.
]]>FelizNYC wrote:Given h(x) = (-32x^2)/(130)^2, do A to C.
D. Find all interceptsTo find the x-intercept(s), I must let h(x) = 0.
Yes?To find the y-,intercept(s), I must let x = 0.
Yes?Both correct.
Perfect. I can take it from here.
]]>OK. You've got a division within a division so I suggest you 'invert and multiply'.
Bob
I will work on this on paper.
]]>Fully agree!
I find the following really useful:
https://www.mathsisfun.com/data/function-grapher.php
The default set of x and y values does not show fully what these functions look like in graph form. You need to zoom out. You can also drag to move to a different part of the axes.
Bob
Thank you for the link. Every reply a little more than the previous.
]]>Thanks for link. I forgot about the math resources available on this website.
]]>FelizNYC wrote:How does one use the graph of a function to find any symmetry with respect to the x-axis, y-axis, or origin?
Use def. of the symmetries
even: mirrored on each side of y-axis (like y=x^2)
odd: mirrored but upside down on other side of y-axis (like y=x^3)
origin: each pt matches another pt on th e other side of the origin (like y=x^3)
Can you show me using a graph or two?
]]>FelizNYC wrote:Very good. Can you tell me why that's the correct function?
Do the logic of the Q
I(x) is before taxes
T(x) is after taxes
What changes between I(x) and T(x)?
What math operation do they do to take out the taxes?
Use the fcn that uses that operation
To take out taxes subtraction is needed.
]]>