Math  /  Algebra

Questionf(x)={ebx for x21.5x+b for x>2f(x)=\left\{\begin{array}{ll} e^{b x} & \text { for } x \leq 2 \\ 1.5 x+b & \text { for } x>2 \end{array}\right. et ff be the function defined above. For what values of bb is ff continuous at x=2x=2 ? (A) 0.508 only (B) 0.647 only (C) -1.282 and 0.508
D -2.998 and 0.647

Studdy Solution
The values of bb that make f(x)f(x) continuous at x=2x = 2 are approximately b=0.647b = \mathbf{0.647} and b=2.998b = \mathbf{-2.998}.
This corresponds to answer choice (D).

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