Question

Help please?

Answer 1

The key here is for the function to be continuous, all the y-values have to be equal when each of the pieces comes together.

Explanation:

So, let's take the first two functions, `1/4x+5/4` and `2x+3`

When the two pieces meet at x=a, in order for them to be continuous, the y value must be equal on both sides.

So, one way to solve these is to make the two functions equal each other, so

`1/4x+5/4 = 2x+3 -> 1/4x - 2x = 3 - 5/4 -> -7/4x=7/4`

Therefore, x = -1

This matches option B.