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angelb2472
24.09.2019 •
Mathematics
Which equation is represented by the graph below?
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Ответ:
let's proceed to graph each case to get the answer
using a graph tool
case a)![y=ln x](/tpl/images/0256/5280/8c6e0.png)
see the attached figure N 1
The equation is not represented by the graph
case b)![y=ln x+1](/tpl/images/0256/5280/ee4d4.png)
see the attached figure N 2
The equation is not represented by the graph
case c)![y=e^{x}](/tpl/images/0256/5280/0ae4f.png)
see the attached figure N 3
The equation is represented by the graph ------> Is the solution
case d)![y=e^{x} +1](/tpl/images/0256/5280/064b9.png)
see the attached figure N 4
The equation is not represented by the graph
therefore
the answer is
the equation is![y=e^{x}](/tpl/images/0256/5280/0ae4f.png)
Ответ:
Equation
represents the graph shown in given figure.
Hence option (3) is the correct option.
The function given in the options of the figure are
The graphs of all the options are attached below
The options (1) and (2) are logarithmic function and options (3) and (4) are exponential function
The addition of constant shifts the function upwards or downwards depending upon the sign of constant.
hence for![\rm y = e^x +1](/tpl/images/0256/5280/b454b.png)
The function
is shifted by 1 unit in +y direction.
Similarly we can conclude about the logarithmic function.
The graph shown in figure is similar to the function
hence option (3) is correct.
It can be seen that for
the y values are always positive and x values vary from
.
So option (3) is the correct option.
Equation
represents the graph shown in given figure.
For more information please refer to the link below
Ответ: