Question

Could someone help me with the question below:

Make sure that the functions are continuous at the given point.

1-x^2 if x <= 2
f(x)= ,in x = 2
2x-7 if x > 2

Answer 1

for this piecewise function to be continuous, both pieces (1-x^2 and 2x-7) must be equal at x=2

Answer 2

so plug in 2 and what do you get for these pieces?