Graph each piecewise function. then identify the properties.

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, -∞)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

she gotta workk that a 2

step-by-step explanation: