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fenix001 [56]
3 years ago
6

explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function

in your answer.
Mathematics
2 answers:
miss Akunina [59]3 years ago
6 0
A function is defined as a relation in which  each element of a given set (the domain of the function) is associated with an element of another set ( the range of the function).

Note that it is ' an element' in the second set  NOT more than one element.

If a graph fails the vertical line test ( the line passes through the graph more than once) it means that there is more than one element in the range  associated with the element in the domain - so it is not a function.
noname [10]3 years ago
5 0

Answer:


Sample Response: If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. You can't have two y-values for an x-value in a function. Therefore, the graph is not a function.


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Does the point (2, 9) satisfy the inequality y ≤ 3 x + 1 ?
Naily [24]

A point is written using the form (X,Y), so the first number is the X and the second number is the Y.


Replace x and Y in the given equation with the given point:


y ≤ 3x+1

9 ≤ 3(2) +1

9 ≤ 6 +1

9 ≤ 7


9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.

7 0
3 years ago
A spherical tank holds about 7,234.56 cubic meters of air.
Inessa [10]

Answer:

The radius of the spherical tank is 12 meters

Step-by-step explanation:

In this question, we are tasked with calculating the radius of the spherical tank given the volume of air it can hold

Mathematically, the volume V of a sphere is 4/3 * pi * r^3

Thus, 7234.56 = 4/3 * 3.14 * r^3

7,234.56 = 4.19 * r^3

r^3 = 7234.56/4.19

r^3 = 1,728

r = cube root of 1,728

r = 12 meters

8 0
3 years ago
What is the transformation of f(x)=|x-9|
Allushta [10]

Answer: X=9

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Solve each inequality of -4x -2<8
FromTheMoon [43]
<span>-4x -2<8
Add 2 to both sides
-4x<10
Divide -4 on both sides
Final Answer: x > -10/4 or -2 1/2 *Both answers are equivalent to each other.
</span>
6 0
3 years ago
2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.
Elza [17]

First, simplify the expression 2r^2 + 3s^3 - r^2 + 4t^2 - r^2. Here you have three terms with r^2, group them in the following way:

2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=

=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.

Then substitute s=-3 and t=5:

3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.

Answer: 19.

3 0
3 years ago
Read 2 more answers
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