The function is defined by `f(x) = {(kx+1,if, x le5),(3x-5,if, x gt 5):}` is continuous at x = 5. Find k.

The function is defined by f(x) = {(kx^3,if, x le 2),(3,if, x gt 2):} at x = 2 .

Find the relationship between a and b so that the function defined by f(x) = {(ax+1,if, x le 3),(bx+3,if, x gt 3):} is continuous at x = 3.

The function is defined by f(x) = {(kx+1,if, x lepi),(cos x,if, x gt pi):} at x = pi .

Find the relationship between a and b so that the function f defind by f(x)= {(ax+1, if x le 3),(bx+3, if x gt 3):} is continuous at x=3

Is the function f defined by f(x) = {{:(x," if "x le 1),(3," if "x gt 1):} continuous at x= 0 ? At x=1? At x=2? .

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k

For what value of k is the function defined by f(x)={{:(k(x^(2)+2)," if " x le0),(3x+1," if "x gt 0):} continuous at x= 0? Also write whether the function is continuous at x=1.

A function f is defined by f(x) =2x- 5 find f( -3 )

Find the value of k if f(x)={{:(kx+1," if "x le 5),(3x-1," if "x gt 5):} is continuous at x=5.