Question 0.1.16: Using the Vertical Line Test Determine which of the curves i...

Using the Vertical Line Test

Determine which of the curves in Figures 0.18a and 0.18b correspond to functions.

0.16
The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Notice that the circle in Figure 0.18a is not the graph of a function, since a vertical line at x = 0.5 intersects the circle twice. (See Figure 0.19a.) The graph in Figure 0.18b is the graph of a function, even though it swings up and down repeatedly. Although horizontal lines intersect the graph repeatedly, vertical lines, such as the one at x = 1.2, intersect only once. (See Figure 0.19b.)

0.16.
0.16..

Related Answered Questions

Question: 0.1.22

Verified Answer:

By calculating f (1), you can see that one zero of...
Question: 0.1.20

Verified Answer:

To find the y-intercept, set x = 0 to obtain y = 0...
Question: 0.1.21

Verified Answer:

You probably won’t have much luck trying to factor...
Question: 0.1.18

Verified Answer:

Here, f(x) is a rational function.We show a graph ...
Question: 0.1.13

Verified Answer:

It’s easy to read the slope of the line from the e...