27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: Graph the curves y = x1/3(x - 4)

A:

Q: The function f is continuous on the interval -2 < x < 5 and is not continuous on the interval -2 ≤ x…

A: The function  is continuous on the interval and is not continuous on the interval . To find the…

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: 75. Show that if a function f is defined on an interval symmetric about the origin (so that f is…

A:

Q: 3. If f(X) = x - 3x - 2, g(x) and h(x) = Vx+3 use the interval notation to describe the domain of…

A:

Q: Q3) Test the continuity of the function f(x): -15x <0 0S X< 2 F(x) = 2х— 1 x+ 3 X = 2

A:

Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

A:

Q: can you explain what this means

A: Step 1: Step 2: Step 3: Step 4:

Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

A:

Q: (B) Test the continuity of the following function: (3 Marks) (5x +3 f(x) = }2x2 +5 - 5x + 3 ;x< 2 ;…

A: F(x) is not continuous at x equals 2 and 4, and continuous at all other real numbers.

Q: Suppose that f(x) is a continuous function with f(1) = - 6 and f(5) = 6. Determine which choice best…

A:

Q: Which of the following is a function whose graph is continuous everywhere except at 3 and is…

A:

Q: Is the following function continuous? x2 – 9 if x 3 if x = 3

A: The function is given by