Let f: ℝ → ℝ be a function. Note: ℝ denotes the set of real numbers. f(x) =…
Let f: ℝ → ℝ be a function. Note: ℝ denotes the set of real numbers.
f(x) = -x, if x < -2;
f(x) = ax² + bx + c, if x ∈ [-2, 2];
f(x) = x, if x > 2.
Which ONE of the following choices gives the values of a, b, c that make the function f continuous and differentiable?
- A.
a = 1/4, b = 0, c = 1
- B.
a = 1/2, b = 0, c = 0
- C.
a = 0, b = 0, c = 0
- D.
a = 1, b = 1, c = -4
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