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Which function is shown in the graph below?

Which function is shown in the graph below?-example-1
User Mourad
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2 Answers

4 votes
the annswer is y=log3x
User Yes
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7.6k points
2 votes

Answer:

Option C.

Explanation:

There are three points which are passing through the logarithmic function shown in the graph.

The points are (0.4, -0.6), (1, 0) and (3, 1).

Now we will plug in the values (3, 1) in all the options to get the correct answer.

a).
y=log_(0.4)x

We can rewrite the equation as


(0.4)^(y)=x [If
a^(b)=c then
b=log_(a)c]

For (3, 1)


(0.4)^(1)=3

Which is not true so option A is not the answer.

b).
y=log_(1)x

We can rewrite the equation as


(1)^(y)=x

For (3, 1)


(1)^(3)=3

1 = 3

Which is not true.

Therefore, Option B is not the answer.

c).
y=log_(3)x

We can rewrite the equation as


(3)^(y)=x

For (3, 1)


(3)^(1)=3

3 = 3

Therefore, option C is the answer.

d).
y=log_(10)x

We can rewrite the equation as


(10)^(y)=x

For (3, 1)


(10)^(1)=3

Not true. Therefore, option D is not the answer.

User A H Bensiali
by
7.9k points

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