Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
The line crosses the y- axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation of line
