Continuing to Payment will take you to apayment page

Purchasing
SparkNotes PLUS
for a group?

Get Annual Plans at a discount when you buy 2 or more!

Price

$24.99$18.74/subscription + tax

Subtotal $37.48 + tax

Save 25%
on 2-49 accounts

Save 30%
on 50-99 accounts

Want 100 or more?
Contact us
for a customized plan.

Continuing to Payment will take you to apayment page

Your Plan

Payment Details

Payment Details

Payment Summary

SparkNotes Plus

You'll be billed after your free trial ends.

7-Day Free Trial

Not Applicable

Renews June 2, 2024May 26, 2024

Discounts (applied to next billing)

DUE NOW

US $0.00

SNPLUSROCKS20 | 20%Discount

This is not a valid promo code.

Discount Code(one code per order)

SparkNotes PLUS
Annual Plan - Group Discount

Qty: 00

SubtotalUS $0,000.00

Discount (00% off)
-US $000.00

TaxUS $XX.XX

DUE NOWUS $1,049.58

SparkNotes Plus subscription is $4.99/month or $24.99/year as selected above. The free trial period is the first 7 days of your subscription. TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. You may cancel your subscription on your Subscription and Billing page or contact Customer Support at custserv@bn.com. Your subscription will continue automatically once the free trial period is over. Free trial is available to new customers only.

Choose Your Plan

Your Free Trial Starts Now!

For the next 7 days, you'll have access to awesome PLUS stuff like AP English test prep, No Fear Shakespeare translations and audio, a note-taking tool, personalized dashboard, & much more!

Thank You!

You’ve successfully purchased a group discount. Your group members can use the joining link below to redeem their group membership. You'll also receive an email with the link.

No URL

Copy

Members will be prompted to log in or create an account to redeem their group membership.

Thanks for creating a SparkNotes account! Continue to start your free trial.

We're sorry, we could not create your account. SparkNotes PLUS is not available in your country. See what countries we’re in.

There was an error creating your account. Please check your payment details and try again.

Please wait while we process your payment

Your PLUS subscription has expired

We’d love to have you back! Renew your subscription to regain access to all of our exclusive, ad-free study tools.

Renew your subscription to regain access to all of our exclusive, ad-free study tools.

A graph is simply a drawing of the coordinate
plane with points
plotted on it. These points all have
coordinates (x, y). In the graph of a
function, the y-coordinate has
the value f (x), meaning the coordinates of the graph of a function are
(x, f (x)). The possible values of x are elements of the
domain of the function, and the
possible values for f (x), or y, are the elements of the
range of the function. Viewing
the graph, a given x-coordinate can be selected, and the value of y at that
point is the value of the function at that x-coordinate. Below are the graphs
for some simple functions.

Because a function can produce only one output for a given input, it is easy to
determine whether a given graph is a graph of a function or not. If a vertical
line can be placed somewhere in the coordinate plane such that it intersects
with the graph twice, the graph is not a function. Two intersections with a
vertical line signify that for a given value of x, there are two possible values
of f (x), which by definition is impossible for a function. This method for
testing a potential function is called the vertical line test.

The graphs of the trigonometric
functions are plots of points whose
coordinates are (x, f (x)), with x being an angle measure in
radians. The y-coordinate, f (x), is a real
number--specifically, it is the ratio
that defines the value of a given trigonometric function. In the next
section we'll see what the graphs of the six
trigonometric functions look like.