Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Points On the Coordinate Plane

A function has the following points:

(-6, -3), (-5, -2), (-3, 0), (0, 3), (2, 4), (4, 3), (6, 0), (8, -2), (10, 0), (11, 1)

A. Find f(0) and f(-6)

B. If f(3) positive or negative?

C. For what values of x is f(x) = 0?

D. For what values of x is f(x) > 0?

E. List the x and y intercepts.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Points On the Coordinate Plane

A, C, D, and E can be answered by looking up the appropriate coordinates. eg f(11) = 1

You aren't given (3,?) so you have to asume that interpolation is possible. ie assume that there is a line/curve joining (2,4) and (4,3) that doesn't cross the x axis so you can make a guess for this answer.  Try plotting the points if it helps.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Points On the Coordinate Plane

A function has the following points:

(-6, -3), (-5, -2), (-3, 0), (0, 3), (2, 4), (4, 3), (6, 0), (8, -2), (10, 0), (11, 1)

A. Find f(0) and f(-6)

f(0) comes from pt (0,3)
f(-6) comes from pt (-6,-3)

B. If f(3) positive or negative?

none of the pts has x=3
maybe f(-3)?
then use pt (-3,0)

C. For what values of x is f(x) = 0?

f=0 comes from pts (-3,0),(6,0),(10,0)

D. For what values of x is f(x) > 0?

f>0 comes from pts (0,3),(2,4),(4,3),(11,1)

E. List the x and y intercepts.

use defs:
x-int: y=0, so pts (-3,0),(6,0)(10,0)
y-int: x=0, so pt (0,3)

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Points On the Coordinate Plane

A function has the following points:

(-6, -3), (-5, -2), (-3, 0), (0, 3), (2, 4), (4, 3), (6, 0), (8, -2), (10, 0), (11, 1)

A. Find f(0) and f(-6)

f(0) comes from pt (0,3)
f(-6) comes from pt (-6,-3)

B. If f(3) positive or negative?

none of the pts has x=3
maybe f(-3)?
then use pt (-3,0)

C. For what values of x is f(x) = 0?

f=0 comes from pts (-3,0),(6,0),(10,0)

D. For what values of x is f(x) > 0?

f>0 comes from pts (0,3),(2,4),(4,3),(11,1)

E. List the x and y intercepts.

use defs:
x-int: y=0, so pts (-3,0),(6,0)(10,0)
y-int: x=0, so pt (0,3)

This I totally understand. Thank you, brother.

Can you show me STEP BY STEP how to upload photos here using an android phone?

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Points On the Coordinate Plane

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:

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Points On the Coordinate Plane

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:

https://i.imgur.io/7uB3NEl.jpg

if you dont delete the underscore-d then you get a thumbnail (?) thats pretty small:

https://i.imgur.io/7uB3NEl_d.jpg

I will work on this this when time allows.