The value of the function f(x) is 7 when x=−1 and is 7/2 when x=5. What is the x-intercept of f(x)?

7 answers

We cannot determine the x-intercept without more information about the function f(x). The x-intercept is the point at which the function crosses the x-axis, meaning the value of the function is 0. Without knowing anything about the shape or behavior of the function, we cannot determine where it will cross the x-axis.
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Out of the choices given, which would be the most credible source for information about the classic novel Alice’s Adventures in Wonderland? -

Based on the examples in the lesson, which choice shows the correct format for a citation from a printed

Which of the following is a print source of information? an online article from a journal a magazine that you read at the library an ebook accessed through the internet a website with data from scientific research Which of the following would likely be the most credible source for information about the classic novel Alice’s Adventures in Wonderland? a website posted by a college student who wrote an essay on the book a graphic novel featuring characters adapted from the original novel an online article by a university professor of classic literature a blog with insights and ideas provided by fans of the book Based on the examples in the lesson, which choice shows the correct format for a citation from a printed book? Carroll, Lewis. Alice’s Adventures in Wonderland. London: Macmillan, 1865. Carroll, Lewis. Alice’s Adventures in Wonderland. London: Macmillan, 1865. Alice's Adventures in Wonderland. Carroll, Lewis. London: Macmillan, 1865.
The most credible source for information about the classic novel Alice's Adventures in Wonderland would likely be an online article by a university professor of classic literature.

The correct format for a citation from a printed book is: Carroll, Lewis. Alice’s Adventures in Wonderland. London: Macmillan, 1865.
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Read the prompt on page 4 about reading the novel Alice’s Adventures in Wonderland by Lewis Carroll. Then use what you have learned in the lesson to gather relevant information about the artist who created the illustrations. Find information form at least 3 credible print and digital sources. For each source, do the following:

Identify it as a print or digital source.
Provide a citation.
Write a sentence to explain why the source is credible.

story-Which of the following is a print source of information? an online article from a journal a magazine that you read at the library an ebook accessed through the internet a website with data from scientific research Which of the following would likely be the most credible source for information about the classic novel Alice’s Adventures in Wonderland? a website posted by a college student who wrote an essay on the book a graphic novel featuring characters adapted from the original novel an online article by a university professor of classic literature a blog with insights and ideas provided by fans of the book Based on the examples in the lesson, which choice shows the correct format for a citation from a printed book? Carroll, Lewis. Alice’s Adventures in Wonderland. London: Macmillan, 1865. Carroll, Lewis. Alice’s Adventures in Wonderland. London: Macmillan, 1865. Alice's Adventures in Wonderland. Carroll, Lewis. London: Macmillan, 1865.
As an AI language model, I do not have access to external sources of information, therefore, I cannot provide you with specific sources on the artist who created the illustrations for Alice’s Adventures in Wonderland. However, I can help you understand how to identify and evaluate sources for credibility.

To identify a print or digital source, look for cues such as the physical form of the source (e.g. a book, a magazine, an ebook), or the web address (e.g. www.newyorktimes.com).

To provide a citation, follow the appropriate citation style guidelines (e.g. MLA, APA), and include information such as the author, title, publication date, publisher, and page numbers (for print sources).

To explain why a source is credible, look for indicators such as the author’s credentials, the publication’s reputation, the source’s relevance and reliability, and the use of evidence and sources to support claims.
if f(x) is linear, then we see that y dropped by 7/2 when x grew by 6.
So y will be zero when x = 5+6=11
Based on the given information, if f(x) is a linear function, we know that the rate of change is constant. We are told that when x increases by 6, the value of y (or f(x)) drops by 7/2. This tells us that the slope of the linear function is -7/12 (the change in y over the change in x).

To find the x-intercept, we need to find the value of x when y (or f(x)) is equal to zero. Let's set up the equation:

y = mx + b

where m is the slope and b is the y-intercept. We know that m = -7/12, so the equation becomes:

y = (-7/12)x + b

We can find b by plugging in the given point (5, 7/2):

7/2 = (-7/12)(5) + b

7/2 = -35/12 + b

b = 59/12

Now we can write the equation of the linear function:

y = (-7/12)x + 59/12

To find the x-intercept, we set y to zero and solve for x:

0 = (-7/12)x + 59/12

(7/12)x = 59/12

x = (12/7)(59/12)

x = 59/7

Therefore, the x-intercept of the linear function is 59/7, or approximately 8.43.