right shows their data. homework

rebound

bounce

height

a. to what family does the function belong? explain how you know.

1/ 475 cm

2 /290 cm

3 / 175 cm

4/ 100 cm

5 / 160 cm

b. write the data as a sequence. is the sequence arithmetic,

geometric, or something else? justify your answer.

It belongs to the square root family. Your answer is B. Why the square root family? Because can be written as

When you raise to 1/2 or 1/3 it is like saying the square root or the cube root.

When you raise to 1/2 or 1/3 it is like saying the square root or the cube root.

Exponential function

Step-by-step explanation:

The general form an exponential function is given by, .

Now, if we add another constant to the function as, then the type of function does not alter.

Now, the function is given to be is a type of exponential function, where, a = 1, b = 2 and c = 5. (Answer)

B.square root

Step-by-step explanation:

Raising anything to the 1/2 power is the same as taking the square root of that term.

Since x would be under the square root sign (since it is part of the term being raised to the 1/2 power), this makes the function a square root function.

Option c is correct that is exponential function.

Step-by-step explanation:

We have been given a function:

Since, the function has something in power that is in its exponent.

Therefore, The given function is exponential

Therefore, option c is correct.

The function is not quadratic because quadratic function is of degree 2

The function is not square root because there is no square root symbol.

The function is not logarithmic because there is not written log anywhere.

Option c is correct that is exponential function.

Step-by-step explanation:

We have been given a function:

Since, the function has something in power that is in its exponent.

Therefore, The given function is exponential

Therefore, option c is correct.

The function is not quadratic because quadratic function is of degree 2

The function is not square root because there is no square root symbol.

The function is not logarithmic because there is not written log anywhere.

option a is correct.

Step-by-step explanation:

We have given the equation:

Squaring both sides of the above equation we get:

After simplifying the first step

After final simplification we get:

We are getting quadratic equation since, the degree in resultant is 2.

Therefore, option a is correct.

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