1. Consider the function f: R→R, where R represents the set of all real numbers and...

1. Consider the function f: R→R, where R represents the set of all real numbers and for every x ϵ R, f(x) = x3. Which of the following statements is true?

a. f is onto but not one-to-one.

b. f is one-to-one but not onto.

c. f is neither one-to-one nor onto.

d. f is one-to-one and onto.

2. Consider the function g: Z→ {0, 1, 2, 3, 4, 5}, where Z represents the set of all integers and for every x ϵ Z, g(x) = x mod 5, i.e. g(x) is the remainder of x divided by 5. Which of the following statements is true?

a. g is one-to-one and onto.

b. g is neither one-to-one or onto.

c. g is one-to-one but not onto.

d. g is onto but not one-to-one.

Expert Solution

genius_generous answered 2 years ago

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