Question

Which equation is represented by the graph below?

y=e^x
y=e^x -1
y=in x
y=in x-1

Answer 1

C.) y=in x
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Answer 2

Answer: y= ln x will be the function which is represented in the graph.

Explanation: since, we know that a function must be satisfied its own point. And according to the graph function passes through the point (1,0) in the positive x-axis. so it must be satisfied the points.

for y=e^x, if x=1, y=e^1=e ≠ 0, thus it can not be y=e^x

for y=e^x-1, if x=1, y=e^1-1=e-1≠0 thus it can not be y=e^x-1

for y=ln x, if x=1, y=ln 1= 0 thus (1,0) is one of the point of function ln x.

for y= ln x-1, if x=1, y=ln1-1=0-1=-1≠0 thus it can not be y=lnx-1

Therefore, by the above explanation we can say that the point only satisfied for function lnx.

Thus, y=ln x will be the equation which is represented by the following graph.