Question

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

$\mathrm{f}\left(\mathrm{x}\right)=2.$

Short answer

Domain of the given function is$(-\infty ,\infty ).$Range of the given function is$\left\{2\right\}.$

Step-by-step solution

Step 1. Given Information

The equation can be given as,

$\mathrm{f}\left(\mathrm{x}\right)=2.$

Step 2. Linear Function 

It shows that as a linear and constant function.

The slope of the function is $\mathrm{m}=0.$The y-intercept of the function is $(0,2).$The horizontal line passing through this point and the graph can be drawn as,

Step 3. Domain and range

Because given function is a constant linear function, domain of constant linear function is all real numbers. The domain of the constant functions is $(-\infty ,\infty ).$Because given function is a constant linear function, range of linear function is just a constant value. Range of the function is $\left\{2\right\}.$