Question

Find the domain and range of the follwoing graph.

• A. $\text{Domain}=-6\le x\le 6$
  $\text{Range}=-4\le y\le 4.5$
• B. $\text{Domain}=-6\le x\le 6$
  $\text{Range}=-4.5\le y\le 4$
• C. $\text{Range}=-6\le x\le 6$
  $\text{Domain}=-4.5\le y\le 4$
• D. $\text{Domain}=-5\le x\le 6$
  $\text{Range}=-4\le y\le 4$

Answer 1

The correct option is B $\text{Domain}=-6\le x\le 6$

$\text{Range}=-4.5\le y\le 4$
Domain is the set of all the possible inputs of the function.

The minimum value of x is -6 and maximum value of x is 6

$\text{Hence the domain will be}-6\le x\le 6$

Range is the set of all the possible outputs of the function.

The minimum value of y is -4.5 and maximum value of y is 4

$\text{Hence the range will be}-4.5\le y\le 4$