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SPRINGS When a weight up to 15 pounds is attached to a 4-inch spring, the length L, in inches, that the spring stretches is represented by the function Lw=12w+4, where w is the weight, in pounds, of the object. Select the domain and range of the function. Then determine whether it is one-to-one and whether it is discrete, continuous, or neither discrete nor continuous.

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MrRoyal

The domain of the function is 0 <= w <= 11/12 and the range of the function is 4 <= L(w) <= 15

The domain and the range of the function

The function is given as:

L(w) = 12w + 4

The smallest value of w is 0, and the smallest value of L(w) is 4 i.e. when w = 0

The maximum value of L(w) is 15.

So, we have

12w + 4 = 15

Subtract 4 from the sides

12w = 11

Divide both sides by 12

w = 11/12

Hence, the domain of the function is 0 <= w <= 11/12 and the range of the function is 4 <= L(w) <= 15

The function type

The function is a linear function.

All linear functions are one-to-one functions

Hence, the function is a one-to-one function

Also, the function takes fractional values.

This is because the input of the function is weight

Weights are continuous values

Hence, the function is continuous

Read more about domain and range at:

https://brainly.com/question/28048756

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