Find the value of the constant A so that the function

Question

Find the value of the constant A so that the function

f(x)

10) will be continuous for all x.

Please show steps

11) Given f(x)

a) Find Find the value of the constant A so that the function } (x)
10 ) f ( x ) = x2+3x+4 ifx51
Ax -5
ifx gt; 1
will be continous for all x
x2-8 x +16
11) Given f(x) =
x -4
if x ; 4
x3+ 2x -72 ifx2 4
a) Find lim f(x)=
x-+ 4-
b) lim f(x) =
*- 4+
c) Is f(x) continouos at x = 4 ? Explain

Math