1. Determine if the function h(x) = 1x+4, x

1. Determine if the function "1: Check/ is continuous at a = g. Check/ lim h(x) limo x #3: lim Check! So h(x) IS continuous at x = 3. 2. For what values of x is the function / (x) discontinuous? For each one, state the condition(s) in the continuity checklist that are violated. x 1: fails x = 2: fails #2 (and #3) x = 3: fails #1 (and #3) 2 I know you weren't asked this, but in case you are interested in determining the intervals over which this function is continuous... 3. Use the continuity rules and theorems on the page 2 to determine the intervals on which the following functions are continuous. Write your solution using interval notation, O g(x) isa polynomial. Therefore, itis continuous on -00,00 or R t5+6t+17 t5+6t+17 b. f(t)= t29 f(t) is a rational function. Therefore, it iscontinuousfor all values oft where the denominator is non-zero. Therefore, itis continuous on