Hello there. To solve this question, we'll have to remember some properties about exponential functions and recognizing patterns.
1. Given the table:
Is this an exponential function? No. Notice that all the terms from the x part were multiplied by a factor of 3, thus this is a linear function and its expression is: y = 3x.
2. Given the table:
Is this an exponential function? Yes. The common ratio between the values of y is 3, notice that 81/27 = 27/9 = 9/3 = 3/1 = 3, which means this is an exponential function of the form y = 3^x.
3. Given the table:
Is this an exponential function? Yes. Notice every term is decreasing by a factor of 2. The common ratio is 1/2, because 0.5/1 = 1/2 = 2/4 = 1/2. The form of this exponential function is: y = 2^(3-x)
if x = 1, y = 4
x = 2, y = 2
x = 3, y = 1
x = 4, y = 0.5.