Question

Consider the following relation.

x=−4|y|+3

Find four points contained in the inverse. Express your values as an integer or simplified fraction.

Answer 1

@tranquility

Answer 2

This question looks familiar. What is the inverse?

Answer 3

-4x + 3

Answer 4

Don't forget to keep the y =

Also there should be absolute values around the x

y = -4|x| + 3

Answer 5

x values: -2, -1, 0, 1, 2

Answer 6

Do you know how absolute value works?

When you're plugging in those numbers to find the corresponding y-values:

y = -4 |x| + 3

When x is -2

y = -4 |(-2)| + 3

The absolute value of -2 is going to be 2.
Any negative number becomes positive
Positive numbers stay the same

y = -4*2 + 3
y = -8 + 3
y = -5

The point is (-2, -5)

Answer 7

Repeat this for x = -1, 0, and 1

Answer 8

When x is -1

y = -4*1 + 3
y = 7 + 3
y = 10

(-1, 10)

Answer 9

Check your work again

-4* 1 is -4

What is -4 + 3

Answer 10

-1

Answer 11

So your point is going to be (-1, -1)

You can also check the graph: https://www.desmos.com/calculator/uvmvin3tiy

Answer 12

When x is 0

y = -4*0+ 3
y = 3 + 3
y = 6

(0, 6)

Answer 13

Where did you get 3 + 3 from?

Answer 14

y = (-4*0)+ 3

Simplify it again

Answer 15

3

Answer 16

Now you got it. What's the point if y is 3 when x is 0

Answer 17

i'm not sure to be honest

Answer 18

3 + 0

Answer 19

is this right

Answer 20

(x, y)

When x is 0, y is 3

(0, 3)

Answer 21

1

When x is 1

y = -4*1+ 3
y = 1 + 3
y = 4

Answer 22

Once again, I'm not sure why you've been making the same mistake again and again

Answer 23

y = -4|x| + 3

when x = 1

y = -4|1| + 3

|1| is equal to 1 so

y = (-4*1) + 3

what is y equal to?

Answer 24

-1

Answer 25

That is correct

Answer 26

Just think of the | | as some sort of special parenthesis which just turns the number inside to become positive

Answer 27

oh okay

Answer 28

(1,-1)

Answer 29

Yes

Answer 30

Consider the following relation.

x=−4|y|+3

Find the domain and range of the inverse. Express your answer in interval notation.

Answer 31

Domain : \[(-\infty,\infty)\]

Answer 32

i don't think so if the range is right

\[(-\infty, 3]\]

Answer 33

is that right

Answer 34

@tranquility