Consider the following.
$$ f(x)= \begin{cases}-5 x, & x \leq 6 \\ x^{2}-6 x+5, & x>6\end{cases} $$
Find the x-value at which f is not continuous. Is the discontinuity removable?
Calculus Consider the following. f(x) = 9x – cos X Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks.) X = ; ---Select--
(1 point) A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f(x) = 2x2+6x–80 X-5 Show that f has a removable discontinuity at 5 and determine the value for f(5) that would make f continuous at 5. Need to redefine f(5) =
5. The function f(x) = is not defined when r = -1, but it has a removable discontinuity there. Find a function g which agrees with f for x -1 and is continuous for all real numbers. 6. Find the intervals of increase and decrease of the function () == +692 +9a.
Please answer ASAP and with correct answer 10. [1/2 Points] DETAILS PREVIOUS ANSWERS LARSONET5 2.4.061. Consider the following. In(x + 1), f(x) = 17 - x2, X>0 x < 0 Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks.) ; non-removable Need Help? Read It Talk to a Tutor 11. [0/1 Points] DETAILS PREVIOUS ANSWERS LARSONET5 2.4.072. Find the constant a such that the function is continuous on the...
6. (10 points) The graph of a function fis given below. 6 2 0 2 6 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (ump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is fnot differentiable? c. Give the value of the following: i lim f(x) ii. lim f(x) iii. lim f(x) 22+
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
6. (10 points) The graph of a function fis given below. O O a. For which values of x in the interval (-4,4) is fnot continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) lll. lim f(x) X-2 X-2 X-2
6. (10 points) The graph of a function fis given below. O O . a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity Gump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: lim f(x) it. limf(x) ill. lim 1.
1-Given the function: \(y=\frac{x^{2}-3 x-4}{x^{2}-5 x+4}\), decide if \(f(x)=y\) is continuous or has a removable discontinuity, and find horizontal tond vertical asymptotes.2 A-Use the definition \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to prove that derivative of \(f(x)=\sqrt{4-x}\) is \(\frac{-1}{2 \sqrt{4-x}}\)2 B- Evaluate the limit \(\lim _{h \rightarrow 0} \frac{f(x+h) - f(x)}{h}\) for the given value of \(x\) and function \(f(x) .\)$$ f(x)=\sin x, \quad x=\frac{\pi}{4} $$3-Given the function: \(y=(x+4)^{3}(x-2)^{2}\), find y' and classify critical numbers very carefully using first derivative tess...
How are you supposed to know that there is jump discontinuity without graphing it on a calculator? This is a non-calc portion of the AP Calculus AB exam. Is there a rule? Which of the following is true? 20. Let f be the function given by f(x)- (A) lim f(x)=- (B) f has a removable discontinuity at x = 2. (C) f has a jump discontinuity at x-2. (D) f has a discontinuity due to a vertical asymptote at x...