Question

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

h(x)=|x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Answer 1

Graph the given function using the given values of $x$ . Also use the graph to determine the domain and range of the function.

$h(x) = |x - 3|; x = 0,1,2,3,4,5,6$

Solution:

$h(0) = |0 - 3| = |-3| = 3$

$h(1) = |1 - 3| = |-2| = 2$

$h(2) = |2 - 3| = |-1| = 1$

$h(3) = |3 - 3| = |0| = 0$

$h(4) = |4 - 3| = |1| = 1$

$h(5) = |5 - 3| = |2| = 2$

$h(6) = |6 - 3| = |3| = 3$

Domain $x\in R$

Range $y\in [0, + \infty)$