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

A:

Q: G(x)= x³ +3x+2 x+2 [[x]] + 1 -1-x-21 - 4 x+3 + 1 x-r if x<-1 if -1 ≤ x 1 if xz1

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: Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x²…

A: We need to find a value that makes the function continuous.

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

A: Always true

Q: ii) f(x) = x*-1 %3D x²-1

A:

Q: can you explain what this means

A: Step 1: Step 2: Step 3: Step 4:

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

A:

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: