Question

If $f(x) = \begin{cases} ax + 7 & \text{if } x<1 \\ 2x - 3 & \text{if } x = 1 \\ \frac{x+b}{b} & \text{if } x>1 \end{cases}$ is continuous at $x = 1$, then

• A. $a = 3, b = 2$
• B. $a = -8, b = -2$
• C. $a = 8, b = -2$
• D. $a = -8, b = 2$

Hint:

When dealing with blurry exam text, solve the clear parts first (here, finding $a=-8$). Use the derived information and the multiple-choice options to "reverse engineer" the unclear part of the equation.

Answer 1

The Correct Option is D