Question

Can you help me answer this question please

( determine the values of the unknowns that make the function continuous everywhere?)​

Answer 1

a=4
b=-12 hope it will help you

Answer 2

a = 4

b=-12

Explanation:

For h(x) to be continuous, h(2) = -4 and h(5) = 8. a represents the slope of the line, which can be found using
`(y_(2)-y_(1) )/(x_(2)-x_(1))`=
`(8-(-4))/(5-2) =4`, so a = 4.

Now we can use our known values and either point to solve for b.

Using h(2) = -4:

`-4 = 4(2)+b\\b=-12`

So, a = 4 and b = -12.