If `f(x)=1` if `x lt 3`; `ax+b` if `3 lt x lt 5` and `7` if `x gt 5` Then find the values of `a` and `b` for which `f(x)` is continuous function

If f(x)={1 , if xlt=3a x+b , if 3

If f(x)={{:(1" if "x le 3),(ax+b" if "3 lt x lt 5),(7" if "x ge 5):} Find a and b, so that f(x) is a continuous function.

Let the function f(x)={1, if x<=3 and ax+b, if 3

Let f(x) = {(ax+1, x lt 1), (3, x=1), (bx^2+1, x gt 1):} . For what values of a and b is f(x) continuous at x = 1 ?

if f(x) = {:{ (1+x, ,0 le x le2), (3-x, ,2 lt x le3):} Determine the points of discontinuity of the function f (f(x)) (ii) Check the continuity of the function f(x) = [x]^(2) - [x^(2)] (iii) find the values of a and b if f is continuous at x = pi/2 f(x)= {:{((8/5)""^(tan8x)/(tan 5x) , , 0 lt x lt pi//2),(a+4, , x=pi//2), ((1+|cot x|)""^(b|tan x|)/a, , pi/2 lt x lt pi):}

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

f(x)={ 5 ; xle1, a+bx; 1lt x lt 3, b+5x; 3le x lt5, 30 xge5 then

f(x)={ 5 ; xle1, a+bx; 1lt x lt 3, b+5x; 3le x lt5, 30 xge5 then