Question

Find the constant a such that the function is continuous on the entire real line.

Answer 1

\[f(x) = 3x ^{2} , x \ge1\]
\[f(x) = ax - 4, x \le1\]

Answer 2

7

Answer 3

Thanks. How'd you find it?

Answer 4

\[3(1)^2=3\]
\[a(1)-4=3\Rightarrow a=7\]

Answer 5

Ah, ok. Thanks