Q:

Which equation is represented by the graph below?

Accepted Solution

A:
For this case we discard options A and B, since by definition, the graph does not correspond to the function of the Neperian logarithm.We tested option C:[tex]y = e ^ x[/tex]Doing [tex]x = 0[/tex]we have:[tex]y = e ^ 0[/tex]Every number raised to zero power is 1.So, we have:[tex]y = 1[/tex]We have the point (0,1)If we try option D:[tex]y = e ^ x + 1[/tex]Doing x = 0 we have:[tex]y = e ^ 0 + 1\\y = 1 + 1\\y = 2[/tex]We have the point (0,2)So, we note that the correct option is option CANswer:Option C