Determine which of the following exponential formula(s) represents ii and iv in the graph above.

A

Step-by-step explanation:

Step 1

The first step is to notice that the graphs of II and iv have the same y intercept. This means that we are looking for functions that match the condition that when t=0, the two functions have the same value.  The functions meet that condition. Additionally the functions   meet this condition.

Step 2

The other condition that must be met by the 2 functions is that they should both increase with the increase in increasing values of t.  the function   does not meet this condition. This means that only the functions are the only functions that meet this condition.

a. α and β

Step-by-step explanation:

One way to solve this exercise is by analyzing the y - intercept of the functions.

By looking at the graph, we can see that II and IV have the same y - intercept.

All the formulas below depend of the variable '''' so if we want to find the y - intercept we only need to replace by '''' in the formulas.

We can also see that the y - intercept of II and IV will be the lower that the another y - intercept of the functions.  

If we replace by :

(α)(t) = ⇒

(β)(t) = ⇒

(χ)(t) = ⇒

(δ)(t) = ⇒

(ε)(t) = ⇒

(Φ)(t) = ⇒

We find that the lowest y - intercept (also equal) are the y - intercept of α and β. Therefore, the correct option is a. α and β

step-by-step explanation:

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