Show that f is continuous on (−[infinity], [infinity]). f(x) = 1 − x2 if x ≤ 1
ln(x) if x > 1

On the interval (−[infinity], 1),
f is ---Select--- a polynomial an exponential a root a logarithmic a rational function; therefore f is continuous on (−[infinity], 1).

On the interval (1, [infinity]),
f is ---Select--- a polynomial an exponential a root a logarithmic a rational function; therefore f is continuous on (1, [infinity])