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###### Vaishnavi Mishra posted an Question
September 23, 2021 • 11:40 am 20 points
• IIT JAM
• Mathematics (MA)

# Let f: r r be a function defined by f(x) = x7+5x3 +11x 15, then, which of the following statements is true? (a) fis both one-one and onto (b) fis neither one-on

Let f: R R be a function defined by f(x) = x7+5x3 +11x 15, Then, which of the following statements is TRUE? (A) fis both one-one and onto (B) fis neither one-one nor onto (C) f is one-one but NOT onto (D) fis onto but NOT one-one

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• ##### Anonymous User

check curve which is monotoncally increasing so f is one one onto

• ##### Sai

Both One-onr and onto

• ##### Anonymous User

f’(x)=7x6+15x²+11> 0 for all x elements of R so f(x) is increasing function hence f is one one onto options (A)

check attachment

a polynomial eq of odd is one one onto if its derivative is even polynomial

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