Section 1.2

Question 1

What is the domain of a function?

Answer 1

The x values of a function.

Question 2

What is the range of a function?

Answer 2

The y values of a function.

Question 3

How do you determine if y is a function of x?

Answer 3

Solve the equation for y in terms of x.

If two or more values can be obtained for a given x, the equation is not a function.

Question 4

In the equation x^3+y^7=11 solve for y.

Answer 4

y=^7√11-x^3 There is only one value of y for each value of x.

For this reason, the given equation defines y as a function of x.

Question 5

In the equation x^2 + y^2 =196 is y a function of x?

Answer 5

Solving for y gives you two values for y therefore y is not a function of x.