For the function and given domain, the range is {-9,-1,5,7}.
Linear Function
A linear function can be represented by a line. The standard form for this equation is: [tex]y=ax+b[/tex], for example, y=2x+7.
Domain and Range
The domain of a function is the set of input values for which the function is real and defined. On the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
The equation of this exercise, 2x+1, is a linear equation because it presents the form: ax+b. Thus, you already know that your graph will be a line.
- Find values of y for given domain:
For this, you should replace -5,-1, 2,3 for x in the equation 2x+1.
For x=-5, [tex]y=2*(-5)+1=-10+1=-9[/tex]
For x=-1, [tex]y=2*(-1)+1=-2+1=-1[/tex]
For x=2, [tex]y=2*(2)+1=4+1=5[/tex]
For x=3, [tex]y=2*(3)+1=6+1=7[/tex]
Therefore, the range is {-9,-1,5,7}
From the values x of domain and the values of y calculated previously, plot the points and draw the line. See the image attached.
Learn more about the range and the domain here:
brainly.com/question/10197594
