(a) For what choice of a and b is the following function continuous qquad f(x)={ -5 if x<=-1 ax-b if -1=3

For what value of k is the following function continuous at x=2? f(x)={[2x+1,;,x 2]}

Examine the following functions for continuity : f(x) = x - 5

Find the values of 'a' and 'b' so that the following function is continuous at x = 3 and x = 5 : f(x)={{:(1", if "xle3),(ax+b", if "3ltxlt5),(7", if "5lex):} .

examine the following function for continuity f(x)=(1)/(x-4)

For what choice of a and b is the function f(x)={x^(2),x c is differentiable at x=c

Examine the following functions for continuity : f(x)=1/(x-5),xne5

For what choice of a and b is the function f(x)={x^(2),quad x c is differentiable at x=c .

Examine the following functions for continuity : f(x)=x^(3)+x^(2)-1

Find the value of a for which the following function is continuous at a given point. f(x)={x+a ,\ x 3

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}