Functions can be represented by equations and graphs
- There are 2 million users online at 9 am
- The domain is [0,23], while the range is [2,
)
<h3>The number of users at 9am</h3>
The function is given as:
![g(x) = \frac 14\sqrt[3]{x - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%202)
At 9am, x = 9.
So, we have:
![g(x) = \frac 14\sqrt[3]{9 - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7B9%20-%203%7D%20%2B%202)
Evaluate the difference
![g(x) = \frac 14\sqrt[3]{6} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7B6%7D%20%2B%202)
Evaluate the exponent


Evaluate the sum

Approximate

Hence, there are 2 million users online at 9 am
<h3>The function transformation</h3>
We have:
![g(x) = \frac 14\sqrt[3]{x - 3} + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%2014%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%202)
The parent function is:
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
So, the transformations applied to the parent function are:
- Vertical compression by a scale factor of 4
- Horizontal shift to the right by 3 units
- Vertical shift up by 2 units
<h3>The domain and the range</h3>
The domain is the possible input values, and the range are the possible output values.
There are 24 hours in a day.
So, the domain is:
Domain = [0,23]
While the range is [2,
)
Read more about function transformation at:
brainly.com/question/1548871
Answer:
Step-by-step explanation:
x (3,7,11,15)
y (4,6,8,10)
A. This IS a function because u have no repeating x values
B. Data in table :
when x = 11, y = 8
relation : f(x) = 5x - 21....when x = 11
f(11) = 5(11) - 21
f(11) = 55 - 21
f(11) = 34.....so when x = 11, y = 34
therefore, the relation f(x) = 5x - 21 has a greater value then the table
C. f(x) = 5x - 21......f(x) = 99
99 = 5x - 21
99 + 21 = 5x
120 = 5x
120/5 = x
24 = x <====
Answer:
2/5
Step-by-step explanation:
There are 2 white and 4 yellow = 6
P(yellow) = yellow /total = 4/6 = 2/3
We keep the ball
Now there are 2 white and 3 yellow = 5
P(yellow) = yellow /total = 3/5
P ( yellow, keep, yellow) = 2/3 * 3/5 = 2/5
Answer:
the answer is x = 4
Step-by-step explanation:
............