Could you help me with my calc?

Write an equation that expresses the fact that a function f is continuous at the number 9. ( lim /(9) = lim ((9) *+g+ X-97 O lim f(x) = ((9) X+9 O lim ((x) = ((9) 9-+X lim ((9) = f(x) X+9 O lim ((9) = f(x) 9 -+ XIf fis continuous on (-00, c0), what can you say about its graph? (Select all that apply.) O The graph of fhas a hole. O The graph of fhas a jump. O The graph of fhas a vertical asymptote, O none of theseConsider the following function. f(x) = X - 4 x - 16 (=) Explain why fhas a removable discontinuity at x = 4. (Select all that apply.) [ ((4) and lim f(x) are finite, but are not equal. X - 4 O f(4) is undefined. lim {{x) is finite. *++4 lim ((x) does not exists. X -+4 O none of the above (b) Redefine ((4) so that fis continuous at x = 4 (and thus the discontinuity is "removed").From the graph of f, state each x-value at which fis discontinuous. For each x-value, determine whether fis continuous from the right, or from the left, or neither. (Enter your answers from smallest to largest.) 6 x = (smallest value) O continuous from the right O continuous from the left O neither x = O continuous from the right O continuous from the left O neither x = O continuous from the right O continuous from the left O neither X= (largest value) O continuous from the right O continuous from the left J neitherWhich of the following is the graph of a function having a removable discontinuity at x = 2 and a jump discontinuity at x = 4 ? X 4 O O X O OExplain why the function is discontinuous at the given number a. (Select all that apply.) F( x ) = x+5 if x # -5 2 = -5 if x = -5 O f(-5) is undefined. [ lim f(x) is not finite. ( *(-5) is defined and lim f(x) is finite, but they are not equal. lim A(x) and lim f(x) are finite, but are not equal. X4-5 O none of the above Sketch the graph of the function. y 10 10 10 5 5 5 5 X L X X 10 X -5 10 -10 -5 10 -10 5 10 -10 5 10 -5 -5 -5 -5 O -10 -10 -10 -10