Answer the following True or False: If f (a) is continuous at x - 9 and f (9) = -8 then lim f (x) = -8. O True O False Submit Question7z -6 if x -2 O Continuous at x = -2 Not continuous: f (-2) does not exist Not continuous: lim f (x) does not exist Not continuous: f (-2) and limit exist, but are not equal Submit QuestionGiven the function below, determine if the function is continuous at the point x = -2. If not, indicate why. f (2) = -2 - 2 Continuous at x = -2 Not continuous: f (-2) is not defined; this is a removable discontinuity Not continuous: f (-2) is not defined; this is not a removable discontinuity Not continuous: lim f (x) does not exist * - - 2 Not continuous: f (-2) and limit exist, but are not equal Submit Questionmx - 14 if x c is continuous everywhere. Question Help: Video Submit QuestionEvaluate the limit. Enter the exact value of the answer. lim V3x + 81 - 9 Question Help: Video Submit QuestionEvaluate the limit given. Enter the exact value of the answer. -9x lim V2x + 49 - 7 Question Help: Video Submit QuestionSuppose that f is a function given as f (x) = V-2x + 3. Simplify the expression f (x + h). f(ath) = f (x + h) - f(z) Simplify the difference quotient, h f (ath) - f(2) Rationalize the numerator in the difference quotient. (If applies, simplify again.) f (ath) - f(2) h The derivative of the function at a is the limit of the difference quotient as h approaches zero. f'(x) =lim f(z th) - f(2) h -+0 h Submit Question1 Suppose that f is a function given as f (a) - -3x - 1 Simplify the expression f (x + h). f ( x t h ) = Simplify the difference quotient, f (x th) - f (z) h f (x th) - f(2) h The derivative of the function at a is the limit of the difference quotient as h approaches zero. f'(2) =lim f(x th) -f(z) h- 0 h Submit Question\fQuestion 15 Compute each of the following limits. Enter the exact values of the answers. lim 1-18- a - 8 lim a-87 a - 8 lim a a-+8 a - 8 Question Help: Video Submit