Question

Find two points on the graph of this function, other than the origin

Answer 1

@tranquility

Answer 2

Choose a number between -10 and 10

Replace x in -3/2 |x| with that number you choose and simplify it

The number you chose is the x coordinate of the point and the number you get after you replace x with that number and simplify will be the y-coordinate

Answer 3

Choose another number and repeat to find a second point on the graph of the function

Answer 4

9

Answer 5

@tranquility

Answer 6

@vocaloid

Answer 7

This is really basic algebra and you should be able to do this

Answer 8

Choose a number and plug it into the function. What number do you get at the end?

x is the input
y is the output

That is the x and y coordinate respectively.

Answer 9

You can pick any number between -10 and 10

We are limited to those numbers for the x-value because your graph only has x-values along the x-axis from -10 to +10

Answer 10

-3

Answer 11

Is that the x-value you're choosing?

Next, plug it into the function
-3/2 |x|

|x| means absolute value of x
If you have a negative number inside, it becomes positive
A positive number stays the same

|-5| = +5
|5| = +5

Answer 12

+5

Answer 13

what?

Answer 14

the answer +5 up top you put

Answer 15

That was an example of how absolute value works. It wasn't an answer to anything

You need to choose a number.
You need to plug it into the function \(-\dfrac{3}{2} |x|\)

And you need to see what number you get when you plug in the number.

The original number you use is the x-value. The number that you get out is the y-value.

Answer 16

oh okay

Answer 17

-3|x|/2

Answer 18

...

Answer 19

the answer for it

Answer 20

how?

Answer 21

the answer to what specifically?

Answer 22

to the function up top you said

Answer 23

i'm thinking i should try another numbers like x=9 and x=4.

Answer 24

What?

What number did you try before?

Answer 25

at first , i chose -3

Answer 26

So what is the y-value when x is equal to -3

What is the point on the graph when x equals -3?

Answer 27

y value is -1.5 and -3

Answer 28

How did you get two y-values?

Answer 29

How did you get those numbers?

Answer 30

You chose -3

y = -3/2 |x|

YOU HAVE TO REPLACE THE X WITH -3

What do you get?

y = -3/2 |-3|

SIMPLIFY IT

What is |-3| = ???
WE SAID THE ABSOLUTE VALUE OF A NEGATIVE NUMBER IS GOING TO BE THE POSITIVE NUMBER

so

y = -3/2 * 3

y = -9/2

Answer 31

That means one point on the graph is (-3. -9/2)

Can you do the same thing again but with another number?

Answer 32

okay , how about 4

Answer 33

Okay, replace the x with 4 and simplify

-3/2 * |4| = ??

Answer 34

-6

Answer 35

You got it!

Answer 36

that's correct ?

Answer 37

It is a valid point on the graph

Answer 38

SO IT'S -3, -6 ?

Answer 39

SO IT'S -3, -6 ?

Answer 40

SO IT'S -3, -6 ?

Answer 41

That's not how points work...

Answer 42

(x value, y value)

I already did an example and gave you the first point when we chose -3 as the x-value

Answer 43

oh my mistake

(-3, -6/2) ?

Answer 44

We found that it was -9/2 not -6/2

Answer 45

oh that's the right one ?

Answer 46

Wait a minute , isn't it for both ?

Answer 47

i had to put different points , it was wrong

Answer 48

You found two different points...

One was (-3, -9/2) or you could write that as (-3, -4.5)

And the other was (4, -6)

Do you see how we got those numbers and how you write a ordered pair?

Answer 49

A: (-4, -6)

B: \[\left( 1, \frac{ -3 }{ 2 } \right)\]

Answer 50

that was the answer

Answer 51

That would be correct as well

Answer 52

okay , i have another one to do