Question

Which of the following best describes the graph shown below?

Answer 1

Answer: the answer is C

Step-by-step explanation:

Answer 2

Hi student, let me help you out! :)

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We are asked to describe the graph shown in the attached picture.

$\triangle~\fbox{\bf{KEY:}}$

Please see below! ^^

Is the graph a function?

$\boxed{\mathrm{Yes}}$ ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.

$\boxed{\mathrm{No}}$ ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.

$\underline{\rule{50}{1}}$

Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.

One down, three to go! ^^

Is the graph a one-to-one function?

$\boxed{\mathrm{Yes}}$ ⇒ It passes the horizontal line test; it touches the graph only once.

$\boxed{\mathrm{No}}$ ⇒ It doesn't pass the test; the line touches the graph

$\underline{\rule{50}{1}}$

Since a horizontal line touches the graph more than once, this function is not one-to-one.

Option B. isn't right either.

Two down, two to go! ^^

However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.

So I choose Option C.

Let's ensure our answer is correct by checking the last option:

Is the graph a linear function?

$\boxed{\mathrm{Yes}}$ ⇒ Its graph is a straight line.

$\boxed{\mathrm{No}}$ ⇒ Its graph isn't a straight line.

$\underline{\rule{50}{1}}$

As we can see, the given graph is not a staight line; thus, Option D. is also wrong.

Thus, Option C. is the correct answer.

Hope it helps you out! :)

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