Question

answer the questions below to determine what kind of function is depicted in the table below.

$x$	0	1	2	3	4

answer attempt 1 out of a

this function is because

Explanation:

Step1: Check for common ratio

To determine if it's exponential, find the ratio between consecutive \( f(x) \) values.
For \( x = 0 \) to \( x = 1 \): \( \frac{-44}{-22} = 2 \)

Step2: Check other ratios

For \( x = 1 \) to \( x = 2 \): \( \frac{-88}{-44} = 2 \)
For \( x = 2 \) to \( x = 3 \): \( \frac{-176}{-88} = 2 \)
For \( x = 3 \) to \( x = 4 \): \( \frac{-352}{-176} = 2 \)
Since the ratio between consecutive terms is constant (\( 2 \)), it's an exponential function.

Answer:

This function is exponential because the ratio of consecutive \( f(x) \) values is constant (equal to 2).