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gulaghasi [49]
3 years ago
6

Define a function. Describe what the vertical line test is used for. Describe a real life situation that can be represented by a

function.
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
A function is a relationship with a quantity (number). For example, if you made a table, and had one side be 1 2 3 4 5 (X axis) and then the y axis (other side) be 5, 10, 15, 20, 25, the function (rule) would be y= x5. The vertical line test is used to see if a graph has a function or not, so if it creates a vertical line on a graph, it has a function.
A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120. 
For 3 hours, it would be 180. The function here is y= x60!
If you have any questions ask me!
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Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre
Dmitry_Shevchenko [17]

The domain and inverse of the function

r(x) = \frac{11}{(x - 4)^2} is

Domain = \mathbb{R} - \{4\},

r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

r(x) = \frac{11}{(x - 4)^2}

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = \mathbb{R} - \{4\},

Where \mathbb{R} is the set of all real number

Let r(x) = y

\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}}  +4

<em />r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

To learn more about function, refer to the link:

brainly.com/question/22340031

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10 months ago
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galina1969 [7]

The answer to this question is B

5 0
3 years ago
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Audrey bought one pound of strawberries for $3.20. What is the price, in dollars per ounce of strawberries?
elena-14-01-66 [18.8K]

Answer: $0.20

Step-by-step explanation:

There are 16 ounces in 1 pound, so divide $3.20 by 16 to get the price of dollars/ounce

3.20/16 = $0.20/ounce

8 0
2 years ago
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Thomas bought 80 tickets for rides at a amusement park. Each ride cost 5 tickets, and Thomas has been on x rides so far. Select
Inessa05 [86]

Answer:

Step-by-step explanation:

80-5x

6 0
2 years ago
Can someone help me solve these questions?
love history [14]

Answer:

0, 5, 8, 11

Step-by-step explanation:

(a)

f(0) → x = 0 in interval - 2 ≤ x < 1 , thus x³ , that is

0³ = 0 ⇒ f(0) = 0

(b)

f(1) → x = 1 in interval 1 ≤ x ≤ 4, thus 3x + 2, that is

f(1) = 3(1) + 2 = 3 + 2 = 5

(c)

f(2) → x = 2 in interval 1 ≤ x ≤ 4, that is

f(2) = 3(2) + 2 = 6 + 2 = 8

(d)

f(3) → x = 3 in interval 1 ≤ x ≤ 4, that is

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3 years ago
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