Question

Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

Answer 1

The answer is

C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Explanation:

In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x

like the difference equation relating y and x.

In a function, for every value of x plugged into the function there is always a corresponding value of y.

Example.

Given the function

y=2x+5.

find the value of y when x=0

we are going to substitute x=0 and solve

y=2(0)+5

y=5

so for x=0 y=5