Q45. - Algebra 2

Question

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

Write an absolute value function for the difference between the number of micrograms of vitamin C you ate today x and the recommended amount.

Step-by-Step Solution

Answer

The absolute value function is $f\left(x\right)=\left|x-2\right|$

Step-1 – Absolute value of the function.

Absolute value - The absolute value of a number is its distance of number from zero on the number line and distance is always non-negative   

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 – Absolute value function.

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

The absolute value function for the difference is $f\left(x\right)=\left|x-2\right|$.