Tell whether the set of ordered pairs satisfies an exponential function. Explain your answer: (1 , 6) ; (2 , 18) ; (3 , 54) ; (4 , 162)

Question 8 options:

1. Not an exponential function. As the x-values are increased by a constant amount, the y-values are not multiplied by a constant amount.

2. Not an exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.

3. Exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

Question

nikolettarocks nikolettarocks

18-08-2022
Mathematics

contestada

Tell whether the set of ordered pairs satisfies an exponential function. Explain your answer: (1 , 6) ; (2 , 18) ; (3 , 54) ; (4 , 162)

Question 8 options:

1. Not an exponential function. As the x-values are increased by a constant amount, the y-values are not multiplied by a constant amount.

2. Not an exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.

3. Exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

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joaobezerra joaobezerra · Answer 1 · 2022-08-19T21:21:25+02:00

The correct option regarding whether the set of pairs represent an exponential function is given by:

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.

b is the rate of change.

From this we have that when the input x is increased by a constant amount, the y values are multiplied by a constant amount.

For the set of ordered pairs given in this problem, this is what happens, as when x is changed by 1, y is multiplied by 3, hence the correct option is given by:

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

More can be learned about exponential functions at https://brainly.com/question/25537936

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