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pashok25 [27]
2 years ago
11

How can you compare properties of two functions each represented in a different way?

Mathematics
1 answer:
madam [21]2 years ago
4 0

Step-by-step explanation:

there are three ways to compare functions that is Madhavi Kali numerically and graphically latest compared to function numerical letters considered an example of y equals to 3 X + 5 in this example why is a dependent of ex so in other words if we keep on sending the value of x then why will increase as well

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What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
music store bought a CD set at a cost of ​$10. When the store sold the CD​ set, the percent markup was 10​%. Find the selling pr
dolphi86 [110]

Answer:

11

Step-by-step explanation:

10 percent of 10 is 1 so add that to 10 and you have your price

7 0
2 years ago
Factor the following: 28 W + 12J
muminat

Step-by-step explanation:

https://youtu.be/e7WGZHTZm0I

6 0
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GREYUIT [131]

Answer:

A. x - 38.45 = 17.71

Step-by-step explanation:

The price of the shirt subtracted off the amount of money she had before would give 17.71

7 0
3 years ago
Cuánto es la mitad de cinco octavos
shutvik [7]
Mitad de \frac{5}{8}'s
Multiplicar \frac{5}{8} por \frac{1}{2}
(\frac{5}{8})  (\frac{1}{2}) =  \frac{(5)(1)}{(8)(2)} =  \frac{5}{16}
4 0
3 years ago
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