F (x) = {4x-2 if x is less than or equal to 2, x squared+2 if x is greater than 2}

[tex] f (x) / left / { {4x-2, x/leq2} / atop {x^2+2, x>2}} / right.

In the interval (-∞, 2], the graph will represent the linear function f (x) = 4x - 2.

In the interval (2, ∞), the graph will represent the exponential function f (x) = x² + 2.