Define f(0,0) in a way that extends f to be continuous at the origin. - - In (3x² - 12/² + 3y²) x² + y² f(x,y) = In Let f(0,0) be defined to be (Type an exact answer.)

Show that the function f:R to R defined by f(x)=5x-12 is continuous using the E-d definition.

Define f(0,0) in a way that extends f to be continuous at the origin. x²y² 2y in [2x² -221 +22²) x² + X f(x,y) = In Let f(0,0) be defined to be (Type an exact answer.)

Let f be defined by f(q)=3q for q rational and f(t)=t2 for t irrational.. b) is f continuous at 3? prove your answer, remember to prove true you MUST prove it to be true, not use a specific example.