Question

Write the equation of the graph below. Then, state the domain and range. Domain: 4 Range: Increasing 8 -6 2 0 2 Decreasing U

Answer 1

Using the absolute value function the equation is

$y=-|x+5|+3$

Because we have a negative displacement on the x-axis of 5 and a positive displacement of 3 on the y-axis and also the graph of the absolute value is inverted

the domain is

$(-\infty,\text{ }\infty)$

the range is

$(-\infty,3\rbrack$

the increasing is

$(-\infty,-5)$

the decreasing is

$(-5,\infty)$