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1 year ago

Which function is shown in the graph below?

Mathematics

2 answers:

Alexandra [31]1 year ago

7 0

Answer:

Option C.

Step-by-step 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.

Stolb23 [73]1 year ago

3 0

The annswer is y=log3x

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EXPLANATION

Method 1: Rewrite as product of
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The expression given to us is,

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We use the fact that
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${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{1} \times {i}^{3} \times {i}^{2} \times {i}^{4}$

This implies,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2}$

We substitute to obtain,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times - 1 \times - 1 \times - 1\times - 1 \times - 1$

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Method 2: Use indices to solve.

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