Question

for what values of a and b is the following function continuous at every x?

F(x)= -4 x <= -3
ax-b -3=1

Answer 1

this is much easier than it looks
replace \(x\) by \(-3\) and set the result equal to \(-4\)
then replace \(x\)by \(1\) and set the result equal to \(2\)
solve for \(a\) and \(b\)

Answer 2

so your saying set a(-3)-b = -4?

Answer 3

ohh okay you mean set the x in f(x)= -4 and then =2

Answer 4

\[-3a-b=-4\\
a-b=2\]

Answer 5

i.e. \[a\times (-3)-b=-4\\
a(1)-b=2\]

Answer 6

then solve the system \[-3a-b=-4\\
a-b=2\] for \(a\) and \(b\)