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## Here's the Solution to this Question

Solution.

We will use the Horizontal line test to determine if the function is one-to-one. If no horizontal line intersects the graph of the function f in more than one point, then the function is one-to-one.

The function is onto if codomain=range.

a) Answer. The function is one-to-one, onto and one-to-one correspondence.

b) Answer. The function is not one-to-one, not onto and not one-to-one correspondence.

c) Answer. The function is one-to-one, onto and one-to-one correspondence.

d) Answer. The function is not one-to-one, not onto and one-to-one correspondence.

e) Answer. The function is one-to-one, onto and one-to-one correspondence.

f) Answer. The function is not one-to-one, not onto and not one-to-one correspondence.

g) Answer. The function is not one-to-one, not onto and not one-to-one correspondence.

h) Answer. The function is not one-to-one, not onto and not one-to-one correspondence.

i) Answer. The function is one-to-one, onto and one-to-one correspondence.

j) Answer. The function is not one-to-one, not onto and not one-to-one correspondence.