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Licemer1 [7]
3 years ago
9

Which graph represents the function f(x)=5lnx?

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

The first graph (top-left) is the correct graph.

Please, also check the attached graph.

Step-by-step explanation:

Given the function

f\left(x\right)=5\:lnx

First, we should determine the x and y-intercepts.

Determining the y-intercept:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

Thus,  

substitute x = 0 in the function

y = lnx

y = ln(0)

y = undefined

Therefore, at x = 0, the value of y becomes undefined.

Hence, None is the y-intercept.

Determining the x-intercept:

We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.

Thus,  

substitute y = 0 in the function

0 = ln(x)

Flipe the equation

ln(x) = 0

Solve algorithm

ln(x) = 0

Take exponent of both sides

\:e^{ln\left(x\right)}=e^0

x\:=e^0

x = 1

Thus, the point of x-intercept is: (0, 1)

<u>Conclusion:</u>

Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.

It is clear from the graph that:

at x = 0, y is heading towards -ve infinity.

at y = 0, x = 1

Therefore, the first graph (top-left) is the correct graph.

Please, also check the attached graph.

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