Question 139
Let $$f: R \rightarrow R$$ be a function defined by $$f(x) = 2x^3 + 8$$ for all $$x \epsilon R$$, then the function f is
Solution
Solution:
The graph will be similar to that of $$x^3$$, just displaced 8 units upwards.
As, a function is a one-to-one function when it will pass the vertical line test (to make it a function) and also a horizontal line test (to make it one-to-one).
So it is one-one.
Also,
Also, as you progress along the line, every possible y-value is used.So it is also Onto.
Hence it is bijection.
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