Question

Find the value of the constant $(a, b$, or $c)$ that makes the function continuous. $$ f(x)=\left\{\begin{array}{ll} x^{2}-c & \text { for } x<5 \\ 4 x+2 c & \text { for } x \geq 5 \end{array}\right. $$

          Find the value of the constant $(a, b$, or $c)$ that makes the function continuous.
$$
f(x)=\left\{\begin{array}{ll}
x^{2}-c & \text { for } x<5 \\
4 x+2 c & \text { for } x \geq 5
\end{array}\right.
$$

Added by Lori J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zack A

Step 1

Step 1: For the function to be continuous, the left-hand limit and the right-hand limit must be equal at the point where the function changes its definition, which is $x=5$. Show more…

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Find the value of the constant $(a, b$, or $c)$ that makes the function continuous. $$ f(x)=\left\{\begin{array}{ll} x^{2}-c & \text { for } x<5 \\ 4 x+2 c & \text { for } x \geq 5 \end{array}\right. $$