Find the constants a and b such that the function is continuous on the entire real line. $ f(x) = \left\{\begin{array}{ll} {\color{red}5}, & x \leq -{\color{red}2}\\ ax + b, & -{\color{red}2} < x < {\color{red}3}\\ -{\color{red}5}, & x \geq {\color{red}3} \end{array}\right. $

we are given

piecewise function as

f(x) =5  when x<=-2

f(x)=ax+b  when -2<x<3

f(x)=-5 when x>=3

We are given f(x) is continuous for all values of x

so, it will also be continuous at x=-2 and x=3

Continuity at x=-2:

Value of both functions must be same at x=-2

so, we get

Continuity at x=3:

Value of both functions must be same at x=3

so, we get

so, we get system of equation as

now, we can subtract both equations

and we get

now, we can find b

so, we get

..............Answer

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24