Question

sketch the function

Answer 1

y=|x-2| let -2\[\le\]x\[\le\]4

Answer 2

An absolute value function is simply a piecewise function; meaning that for different ranges of x the function behaves differently. For absolute value, you want to solve for where the function touches the y-value and determine your piecewise function from there:

Answer 3

The function is going to be: \[y = - x + 2 for all x values \between (-\infty , -2) and y = x - 2 \between (-2 , \infty)\]

Answer 4

So, for you, you have y = -x + 2 between -2 and 2 and then y = x - 2 between 2 and 4

Answer 5

so would the graph be in the shape of a v?