Question

3 points each

1. which is a true statement about the graph?

a. the graph is a function since it passes the vertical line test
b. the graph is a not function since it passes the vertical line test
c. the graph is a function since it fails the vertical line test
d. the graph is a not function since it fails the vertical line test

1. which is a true statement about the graph?

a. the graph is a function since it passes the vertical line test
b. the graph is a not function since it passes the vertical line test
c. the graph is a function since it fails the vertical line test
d. the graph is a not function since it fails the vertical line test

1. amy is gathering golf balls at the driving range. she weighs the bucket of balls fr which of the following is the independent variable?

a. weight of the empty bucket
b. weight of the bucket of golf balls
c. number of golf balls
d. brand of golf balls

Explanation:

Step1: Recall vertical - line test for functions

A graph represents a function if and only if any vertical line drawn on the coordinate - plane intersects the graph at most once.

Step2: Analyze the first graph

For the first graph, a vertical line can be drawn that intersects the graph at more than one point. So, it fails the vertical - line test and is not a function.

Step3: Analyze the second graph

For the second graph, any vertical line drawn on the coordinate - plane will intersect the graph at most once. So, it passes the vertical - line test and is a function.

Step4: Recall the concept of independent variable

An independent variable is a variable whose value is not affected by other variables in a relationship. In the context of Amy weighing the bucket of golf balls, the number of golf balls can be changed independently, and it affects the weight of the bucket of golf balls. The weight of the empty bucket is a constant, the weight of the bucket of golf balls depends on the number of golf balls, and the brand of golf balls is not related to the weight - determining relationship here.

Answer:

1. d. the graph is a NOT function since it fails the vertical line test
2. a. the graph is a function since it passes the vertical line test
3. c. number of golf balls