#1**+2 **

f(2) = 2(2)^{2}- 3 = 5

The first part of the function ends at the point (2,5) . So the second part of the function must go right up to that point. The line f(x) = ax + 4 would pass through (2, 5) if x had no restrictions. So...

a(2) + 4 = 5

2a = 1

a = 1/2

Here's a graph: https://www.desmos.com/calculator/wdefhkmmdz

hectictar
Dec 20, 2017

#3**+2 **

Oh! Also, I accidentally clicked out of your message and couldn't figure out how to re-open it but, you were right about my calculator oops!

AnonymousConfusedGuy
Dec 20, 2017