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A function f: R → R is defined by f(x) = 5x3 - 8. The type of function is _________
- a)one-one
- b)onto
- c)both one-one and onto
- d)many-one
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A function f: R → R is defined by f(x) = 5x3- 8. The type of func...
R is a function that takes a real number as input and returns a real number as output.
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A function f: R → R is defined by f(x) = 5x3- 8. The type of func...
The above is a many-one function.
Consider f(x1) = f(x2)
∴ 5x13 - 8 = 5x23 - 8
5x13 = 5x23
⇒ x1 = ±x2. Hence, the function is many–one.
Consider f(x1) = f(x2)
∴ 5x13 - 8 = 5x23 - 8
5x13 = 5x23
⇒ x1 = ±x2. Hence, the function is many–one.
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A function f: R → R is defined by f(x) = 5x3- 8. The type of function is _________a)one-oneb)ontoc)both one-one and ontod)many-oneCorrect answer is option 'C'. Can you explain this answer?
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