Let
f(x) = 2x^2 - 4 if x <= 2,
ax + 5 if x > 2.
Find a if the graph of y = f(x) is continuous (which means the graph can be drawn without lifting your pencil from the paper).
+14905 Let
f(x) = 2x^2 - 4 if x <= 2 and ax+5 if x > 2
Find a if the graph of y = f(x) is continuous. (which means the graph can be drawn without lifting your pencil from the paper).
Hello Guest!
\(\color{BrickRed}f(x)=2x^2-4=ax+5\\ x=2\\ 2\cdot 2^2-4=2a+5\\ a=(2\cdot 2^2-4-5)/2\)
\(\large a=-\frac{1}{2}\)
!
