Question

Identify the domain and range of each relation. Is the relation a function?

Answer 1

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of $\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Taking the first 2 points, it would make the equation as follows:

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1$

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5$

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.