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Stels [109]
3 years ago
7

Group points {(0,1),(0,5)(2,6),(3,3)}is not a function, but group points {(1,4)(2,7)(3,1)(5,7)} is a function. What do you notic

e about two groups of point? What makes it a function?
Mathematics
1 answer:
Tasya [4]3 years ago
6 0
<h2>Any value in the domain of the function should have a unique value in codomain.</h2>

Step-by-step explanation:

In the first set of points \{\text{(0,1),(0,5)(2,6),(3,3)}\},

value 0 maps to two distinct values 1,5 in the codomain.

This violates the property of functions.

The first set of points does not form a function.

In the second set of points \{\text{(1,4),(2,7)(3,1),(5,7)}\},

Every value in domain corresponds to unique value in domain.

There is no violation in the property of functions.

The second set of points does form a function.

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Given f(x) = x² - 10x + 22, what is the range of f?
adoni [48]

Answer:

[-3, ∞)

Step-by-step explanation:

There are many ways to find the range but I will use the method I find the easiest.

First, find the derivative of the function.

f(x) = x² - 10x + 22

f'(x) = 2x - 10

Once you find the derivative, set the derivative equal to 0.

2x - 10 = 0

Solve for x.

2x = 10

x = 5

Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.

f(x) = x² - 10x + 22

f(5) = 5² - 10(5) + 22

      = 25 - 50 +22

      = -3

Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.

This means the range is : [-3, ∞)

Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).

Hope this helped!

6 0
3 years ago
The formula for calculating the volume of a cone is solve this formula for h
elixir [45]

Answer:

V =  \frac{1}{3} \pi {r}^{2} h \\

multiply either sides by 3:

3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\  \\ 3V = \pi {r}^{2} h

divide either sides by πr² :

{ \boxed{ \boxed{h =  \frac{3V}{\pi {r}^{2} } }}} \\

7 0
2 years ago
Read 2 more answers
8 lb 1 oz − 3 lb 6 oz
Serggg [28]

Answer:

4.6875 is the answer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
2 years ago
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
pishuonlain [190]
Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6

Therefore, option A is the correct answer.
6 0
3 years ago
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