Determine whether the following function is continuous, differentiable, both continuous and differentiable, or neither continuous nor differentiable at the given x value. 4 if x = -3 1. h(x) = x² +2x-3 x = -3 if x + -3' x+3 2. f(x) = |x² – 4|, x = 2

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

A:

Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x<-1f(x)= 4a…

Q: Analyze using the tools of Calculus and sketch the graph of f (x) = x4 - 3x3 + 3x2 + 1. There must…

A:

Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 < x < 2 We have to find whether this function is odd, even or…

Q: Determine whether the following function is continuous at the given point x = 3x? + 14x – 5 1 x + 3…

A:

Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

A:

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

A:

Q: 12. f(a) = 2x" -x -3 12. f(x)- x+1 1-1 if x50 13. f(x)3= %D 4x if x>0 14. f(x)= x-1

A:

Q: (x +1 1. Is the function f(x) = }x? ; x 2 |

A: fx=x+1     ; x<2x2         ; x=22x-1   ;  x>2