Question

Consider the function f(x)= |x-21| graphed below. Find each characteristic of f(x).

Answer 1

From the graph we notice that:

`\text{Domain}=(-\infty,\infty)`
`\text{Range}=\lbrack0,\infty)`
`x-\text{intercept}=(2,0)`
`y-\text{intercept}=(0,2)`
`\text{Increasing interval=}(2,\infty)`
`\text{Decreasing interval=}(-\infty,2)`