Question

Select the values for the domain and range of the functions graphed below

Answer 1

The domain of a function is the complete set of possible values of the independent variable.

In plain English, this definition means:

   The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

So for Graph 1 the domain is : (-∞,∞)

domain for graph 2 is : [-1,5]

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

In plain English, the definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

So range for graph 1 is (-∞,∞)

range for graph 2 is [-1,2]

Answer 2

Domain 1: all real numbers
Range 1: all real numbers
Domain 2: -1 < or equal to x < or equal to 5
Range 2: -1< or equal to y< or equal to 2