Question

Consider the following relation.

y = x - 3

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

Answer 1

What is the inverse?

Answer 2

- x - 3

Answer 3

not quite

Answer 4

y = x - 3

Switch the x and y, and then add 3 to both sides

Answer 5

x = y + 3

is that right

Answer 6

No

When you switch the x and y, you get

x = y - 3

You then need to solve for y. What do you get when you solve for y?

Answer 7

y = x + 3

Answer 8

That's the inverse

Can you find four points on that line?

Answer 9

I'm afraid i don't know how to begin to find them

Answer 10

Could you instruct me how to

Answer 11

Plug in any 4 x values into your inverse function and see what the y values are. The 4 x values with their corresponding y values are your 4 points

Answer 12

okay

the x values is : -2, -1, 0, 1, and 2

is that right

Answer 13

you listed 5 x-values

can you find the corresponding y-values for them?

Answer 14

When x is -2

y = x + 3
y = (-2) + 3
y = 1

so when x is -2, y is 1

You write the point as (-2, 1)

Answer 15

x is -1

y = x + 3
y = (-1) + 3
y = 2

(-1, 2)

Answer 16

Now do it two more times

Answer 17

x is 0

y = x + 3
y = (0) + 3
y = 2

(0, 3)

Answer 18

x is 1

y = x + 3
y = (1) + 3
y = 4

(1, 4)

Answer 19

Good job!

Answer 20

thank you!

Answer 21

You're welcome!