Question

Let f(x)=2x with domain {0,1,2,3,4} and let g(x)={(0,0),(1,1),(2,4),(3,9),(4,16)}. compare functions

Answer 1

f(x) = 2x is a linear function

g(x) is an exponential function

Explanation:

Attached is a screenshot of the graph of both functions.

To start with, I did the necessary calculations to find the range for the function, f(x) = 2x (also one of the attachments in this post). The table lists the values of each output for the given domain, {0,1,2,3,4}.

Then, I graphed the given relation for the g(x): {(0,0),(1,1),(2,4),(3,9),(4,16)}.

In comparing both functions, it is evident that the graph of f(x) = 2x is a linear function, while the graph of g(x) is an exponential function.