Given the graphs of functions that all have the form f(x) = a*(b)^x
We will answer the following questions:
Which graph has the largest value of b?
Fort he exponential functions as b increases the graph will be vertically compressed So, it will be more closes to the y-axis
As shown in the figure, the answer will be graph D
Which graph has the largest value of a?
We will answer the question using the y-intercept
So, when x = 0, the form equation will be: f(0) = a
So, the largest value of (a) will be the largest y-intercept
So, as shown the answer will be the graph C
Which graph has the smallest value of b?
The answer will be the graph F
Which graph has the largest value of a?
The answer will be the graph F