Question

A function, named g,

g
,
has an input of c
c
and a range of all real numbers.

Which option best represents the described function?

Answer 1

see below

Explanation:

A function named "g" with "c" as its input is written g(c), eliminating the 2nd and 4th choices.

A function of even degree cannot have a range of all real numbers. It will have a maximum or minimum value, depending on the leading coefficient. Here, the quadratic function of the 3rd choice will have a minimum value of 0.75, so does not include any negative real numbers in its range.

The linear (odd-degree) function of the first choice will have the described characteristics.