Question: The vertical line test to determine whether a curve is the graph of a function states: If every vertical line in the xy-plane intersects a

The vertical line test to determine whether a curve is the graph of a function states: If every vertical line in the xy-plane intersects a given curve in at most one point, then the curve is the graph of a function. Explain why this is true.

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If a vertical line intersects the graph in all places at exactly one ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus Graphical, Numerical, Algebraic Questions!

Determine whether the curve is the graph of a function of if it is, state the domain and range of the function. 6. 7. 8. 5.

Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function. 1.

For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function. FIE f/ S

Consider the following. -5 -4 -3 2 1 1 2 3 4 5 * -2 Use the Vertical Line Test to determine whether the curve is the graph of a function of x. O Yes, the curve is a function of x. No, the curve is...

10. [-/1 Points] DETAILS SPRECALC7 2.2.039. MY NOTES ASK YOUR TEACHER Sketch a graph of the piecewise defined function. -2 if x 1 4 1 X -6 -4 -2 2 4 6 -6 -4 -2 2 4 6 -0-2 -4 -4 - 6 O O N A Q 4 W X UX...

9) Factor the polynomial completely. Q ( x ) = x 4 + 18 x 2 + 81 Q ( x ) = 2) List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros)....

Please Be organized no need to show work Part one ? X 2.2_2.3_190_classw... . . . webassign.net Your last submission is used for your score. 1. [-/6 Points] DETAILS SALGTRIG4 2.2.009. 0/100...

18. [-/3 Points] DETAILS LARCALCET7 1.3.JIT.003.MI. Use the Vertical Line Test to determine whether the curve is the graph of a function x. 131 2 1 -4 -3 -2 1 2 3 -1 -2 -3 O The given curve is the...

Question 13 7 1 55 Use the vertical line test to determine whether the given graph is a graph in which y is a function of x The graph point a graph in which y is a function of x because a vertical...

answer The vertical line test states that A A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once. B A curve in the coordinate...

Can computers think? Will they ever be able to? Explain why or why not.

9 How are an eclipse of the Sun and an eclipse of the Moon a similar b different?

What is the combined tax rate for Alabama (AL)?

Compute a 95% CI for the mean age? Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. Table 2.13: Hospital-stay data

Compute a 95% CI for the mean white blood count following admission. Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. Table 2.13: Hospital-stay data

Answer Problem 6.12 for a 90% CI. Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. Table 2.13: Hospital-stay data

Happy Times, Inc., wants to expand its party stores into the Southeast. In order to establish an immediate presence in the area, the company is considering the purchase of the privately held Joes...

Which of the following best explains why a firm that needs to borrow money would borrow at long-term rates when short-terms rates are lower than long-term rates? A firm will only borrow at short-term...

You are considering the following two projects and can take only one. Your cost of capital is 1 1 . 4 % . The cash flows for the two projects are as follows ( $ million ) : a . What is the IRR of...