Answer:
f(x) = x² + 6 for x < 3
and
f(x) = -x + 6 for x ≥ 3
Step-by-step explanation:
you have to break it up into two separate parts
for x less than 3 is a parabola x² where y = 6 when x = 0
f(x) = x² + 6 for x < 3
and
for x ≥ 3 the function is a line two points (3, 3) and (0, 6)
the slope m = (3 - 6) / (3 - 1) = -1
y intercept = 6 when x = 0
f(x) = -x + 6 for x ≥ 3
