Question

I need help pleaseeeeeeeeeeeeeeeeeeee

Answer 1

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer 2

y = -
`(3)/(2)` x

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m =
`(0-3)/(0-(-2))` =
`(-3)/(0+2)` = -
`(3)/(2)` , then

y = -
`(3)/(2)` x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = -
`(3)/(2)` (0) + c = 0 + c , so

c = 0

y = -
`(3)/(2)` x + 0 , that is

y = -
`(3)/(2)` x