Let f be a continuous function from [a, b] to [a, b], and is differentiable on (a, b). We will say that point y e [a, b] is a fixed point of f if y = f(y). If the derivative f'(x) #1 for any r E (a, b), then f has A. multiple, and an odd number of, fixed points B. no fixed points in [a, b] C. multiple, but an even number of, fixed points D. exactly one fixed point in [a, b]

Advanced Engineering Mathematics
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8. Let f be a continuous function from [a, b] to [a, b), and is differentiable on (a, b). We will
say that point y E [a, b] is a fixed point of f if y = f(y). If the derivative f'(x) 1 for
any r E (a, b), then f has
A. multiple, and an odd number of, fixed points
B. no fixed points in [a, b]
C. multiple, but an even number of, fixed points
D. exactly one fixed point in [a, b]
Transcribed Image Text:8. Let f be a continuous function from [a, b] to [a, b), and is differentiable on (a, b). We will say that point y E [a, b] is a fixed point of f if y = f(y). If the derivative f'(x) 1 for any r E (a, b), then f has A. multiple, and an odd number of, fixed points B. no fixed points in [a, b] C. multiple, but an even number of, fixed points D. exactly one fixed point in [a, b]
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