Question

Look at the given graph and find out the range and domain of the function shown below.

• A. $\text{Domain:}-5<x<2$
  $\text{Range:}-2<y<5$
• B. $\text{Domain:}-4<x<2$
  $\text{Domain:}-2<y<4.5$
• C. $\text{Range:}-5<x<2$
  $\text{Domain:}-2<y<4.5$
• D. $\text{Range:}-5<x<2$
  $\text{Domain:}-2<y<5$

Answer 1

The correct option is A $\text{Domain:}-5<x<2$

$\text{Range:}-2<y<5$
Domain is the set of all possible input values of a function

From that graph, we observe:


The input starts at -5 and ends at 2. So lower limit of the domain is -5 and 2 is its upper limit.

$\text{So, the domain of the function is}-5<x<2$

Range is the set of all possible output values of a function.


From the graph it is clear that the output start at -2 and ends at 5. So lower limit of the range is -2 and 5 is its upper limit.

$\text{So, the range of the function is}-2<x<5$