Help please?

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1 Answer
Apr 20, 2018

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.


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.