Q13. - Algebra 2

Question

Use the table of record high temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

Identify the domain and range. Assume that the January temperatures are the domain.

Step-by-Step Solution

Answer

The domain of the given problem is $\left\{70,72,88\right\}$ and the range is $\left\{95,97,105,114\right\}$.

Step 1 – Definition of domain and range.

The set of input values is known as domain.

The set of output values is known as range.

Step 2 – Given information.

The table of record high temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

Assume that the January temperatures are the domain.

Step 3 – Domain and range of the given problem.

It is given that the January temperatures are the domain. It means the July temperatures are the range.

 

The temperatures $\left({}^{\circ }\text{F}\right)$ for January are $88,70,88,72$. A set contains only distinct elements. So, the domain of the given problem is $\left\{70,72,88\right\}$.

 

The temperatures $\left({}^{\circ }\text{F}\right)$ for July are $97,114,95,105$. So, the range of the given problem is $\left\{95,97,105,114\right\}$.

 

Thus, the domain of the given problem is $\left\{70,72,88\right\}$ and the range is $\left\{95,97,105,114\right\}$.