Which of the following exponential functions represents the graph below?

Equation D give the graph given.

Step-by-step explanation:

See the graph given.

It is clear from the graph that it passes through (0,1) point.

So, putting x = 0, we get y = 1 from equation B or equation D.

Now, as the x value increases in the negative direction i.e. -5, -6, .... so on, the y value tends to zero.  

This is only possible in equation D i.e. .

So, equation D gives the graph given. (Answer)

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.