Question

Two functions are represented in the tables.

Answer 1

Answer:

Function 1 is linear, while Function 2 is exponential.

Explanation:

Given the functions in the table 1 and 2.

The functions 1 has a constant slope all through it values;

$m=\frac{9-5}{2-1}=\frac{13-9}{3-2}=\frac{17-13}{4-3}=\frac{4}{1}=4$

Since function 1 has a constant slope then it is a linear function.

For function 2, the function does not have a constant slope, but the values of y increases exponentially over x. So, function 2 is an exponential function.

Therefore, Function 1 is linear, while Function 2 is exponential.