Question

For each pair of functions, give a characteristic that the two functions have in common and a characteristic that distinguishes between them.

a) f(x)=x and g(x)=x

A. Both are linear functions.

B. One is quadratic, and the other is linear.

C. Both have the same rate of change.

D. One is odd, and the other is even.

Answer 1

The two functions have in common that they are linear. They differ in that one is linear and the other is quadratic. Hence the correct answer is option A

Step-by-step explanation:

A characteristic that the two functions f(x)=x and g(x)=x² have in common is that both are linear functions. This means that the graphs of these functions are straight lines. However, a characteristic that distinguishes between them is that one is linear while the other is quadratic. The linear function f(x)=x has a constant rate of change and the graph is a straight line with a slope of 1. On the other hand, the quadratic function g(x)=x² has a varying rate of change and the graph is a parabola.

Hence the correct answer is option A