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Arisa [49]
3 years ago
10

What is the range of the function y = e Superscript 4 x

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

Second option: y>0

Step-by-step explanation:

The given function is

y=e^{4x}

Remember that the range is the set formed by y-values, that is, the dependent variable elements.

If you think this through, you would deduct that a power cannot be equal to zero or a negative number. All powers are always positive and greater than zero, because the least power that can exist is equal to one, which is x^{0}=1.

Therefore, the right answer is y>0, because that's the restriction of exponential expression by definition.

Alborosie3 years ago
3 0

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function,  you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

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Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

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Step-by-step explanation:

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