Definition of Derivative...1

[nycmathguy]

Calculus
Section 2.8

 

[MathLover1]

correct

state the domain of the function and the domain of its derivative

 

[nycmathguy]

correct

state the domain of the function and the domain of its derivative

 

[MathLover1]

correct

 

[nycmathguy]

correct

Very good. How is the range found?

 

[MathLover1]

The range is the set of possible output values, which are shown on the y-axis.

Overall, the steps for algebraically finding the range of a function are:

1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2. Find the domain of g(y), and this will be the range of f(x).
3. If you can't seem to solve for x, then try graphing the function to find the range.

 

[nycmathguy]

The range is the set of possible output values, which are shown on the y-axis.

Overall, the steps for algebraically finding the range of a function are:

1. 
   
   
   • Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
   • Find the domain of g(y), and this will be the range of f(x).
   • If you can't seem to solve for x, then try graphing the function to find the range.

Can you find the range using the steps you provided for question 22 as a guide for me?