Question

Examine the graphs of each relation below. Decide if each is a function. Then describe the domain and range of each.

Answer 1

The rule is

If we draw a vertical or horizontal line through the graph then it must not cut the curve more than once

#1

• It's not a function as the curve is cut by 3 three times

#2

Yes it's a function

• Domain:-[-2,3]
• Range:-[-2,2]

Answer 2

• See below

Explanation:

Graph a:

• It is not a function as it fails the vertical line test.
• Domain and range both are within -3 and 3: x, y = [-3, 3]

Graph b:

• It is a function as passes the vertical line test.

The domain, the set of x- values:

• x = [-2, 3]

The range, the set of y-values:

• y = [-2, 2]