Q46. - Algebra 2

Question

The recommended dietary allowance for vitamin C is 2 micrograms per day.

What is an appropriate domain for the function?

Step-by-Step Solution

Answer

The domain for the function $f\left(x\right)=\left|x-2\right|$is $D=\left\{\left.x\right|x\ge 0\right\}.$

Step-1 – Domain and range of the function.

The domain of the function is the set of all input values and range of the function is the set of all output values.

Step-2 – Determine the given value.

The recommended dietary allowance for vitamin C is 2 micrograms per day.

Let x be the number of micrograms ate today and 2 is the recommended micrograms per day.

We know that the absolute value function is $f\left(x\right)=\left|x\right|$.

Step-3 – Domain for function.

The difference between the number of micrograms of vitamin C you ate, and recommended amount is$x-2$.

Here, x is equal to 0 or more then 0 because we cannot eat a negative number of micrograms of vitamin C.

Hence, the domain for the function $f\left(x\right)=\left|x-2\right|$is $D=\left\{\left.x\right|x\ge 0\right\}.$