Using the definition of continuity, show that the following function is continuous 1 z3 q(z) = at zo € (0, ∞).

For any R > 0, show f(a) is continuous at R when f(a) sqrt (x) is continuous on (0, +infinity) at R=b.

3+ /2+x, xs7 8-Jx-3, x>7 three part definition of continuity. b. Is the function f(x)={ continuous at x = 7? Justify your reasoning based on the

Determine the continuity of the function at the given points. forx =-1 flx) = -2, for x *-1 at x = -1 and x = 0 6- 5- 4- 3. -1+ O The function f is continuous at neither x =0 nor x=-1. O The function f is continuous at x =0 but not at x = -1. O The function f is continuous at both x = 0 and x=-1. O The function f is continuous at x = -1 but not at x = 0.