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Luden [163]
2 years ago
8

Which of the following sets of ordered pairs represents a function

Mathematics
1 answer:
Feliz [49]2 years ago
8 0

Answer: A

Step-by-step explanation:

Each value of x maps onto only one value of y.

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H(x) = x3 + 7<br> Determine whether the function is one-to-one.
zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
  • The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is indeed a function.
  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

6 0
3 years ago
What is 20 5/81 in simplest form
Marizza181 [45]
20 5/81 in its simplest form is 20 5/81.

20 5/81 originally looks like this ⇒ 1625/81

((20 * 81)+5)/81 = (1620+5)/81 = 1625/81   * this is an improper fraction because the numerator is greater than the denominator. Improper fractions must be converted to proper fractions. It will then become a mixed fraction.
 
     <u>  0020  5/81</u>        
81 | 1625
       <u>162      </u>      * 81 x 2
           05

5 0
3 years ago
Bisects ∠EDG. Find the value of x
True [87]

Answer:

where is the question? please attatch the angle

6 0
3 years ago
Read the question and type your response in the box provided. Your response will be saved automatically.
larisa [96]

Answer:

512

Step-by-step explanation:

8 x 8 x 8 = 512

4 0
3 years ago
Read 2 more answers
If the quotient of a number and 15 is added to 1/5 the result is 17/15.find the number
earnstyle [38]
Hello,

Let's assume x the number
\dfrac{x}{15} + \dfrac{1}{5} = \dfrac{17}{15} \\&#10;&#10; \dfrac{x}{15} + \dfrac{3}{15} = \dfrac{17}{15} \\&#10;&#10;x+3=17\\&#10;x=17-3\\&#10;x=14&#10;&#10;&#10;

5 0
3 years ago
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