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azamat
2 years ago
10

Is this graph a function or not a function?

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:

It is a function.

Step-by-step explanation:

You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.

This is the table for the graph.

\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]

Remember these rules:

  • Each x value, or input, has its unique y value, or output
  • If you draw a vertical line anywhere on the graph, it should only go through one point

We can check these two rules for this graph:

  • Does each x value have its own, unique y value? Yes
  • If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps

Keep in mind that two different x-values can have the same y value.

Figure 1:

It has two x values with the same y-values.

Figure 2 and 3:

The vertical line goes through two points. So the same x-value has two different y-values.

-Chetan K

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Step-by-step explanation:

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Which fraction has a terminating decimal?<br> - 11/19<br> - 4/7<br> - 1/3<br> - 3/150
babunello [35]
<h3>Answer: D) 3/150</h3>

==========================================================

Explanation:

With the use of a calculator, we see that,

  • 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
  • 4/7 = 0.5714285714285714..., the block "571428" repeats forever
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So 3/150 converts to the terminating decimal 0.02

The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.

----------------------

A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.

If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.

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Step-by-step explanation:

Calculate the slope m using the slope formula

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Step-by-step explanation:

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