Write the equation of the function. use function notation.

Step-by-step explanation:

Left line:

slope (m) = 1 and y - intercept (b) = 3

equation in slope-intercept (y = mx + b) format is: y = x + 3

this line exists only when x ≤ 2

Right line:

a point on the line = (2, 5) and slope (m) = -1

equation in point-slope [y - y₁ = m(x - x₁)] format is: y - 5 = -(x - 2)

convert that to slope-intercept format: y = -x + 2 + 5  ⇒  y = -x + 7

this line only exists when x ≥ 2

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x