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,[tex]\infty[/tex])
The number of users at 9am
The function is given as:
[tex]g(x) = \frac 14\sqrt[3]{x - 3} + 2[/tex]
At 9am, x = 9.
So, we have:
[tex]g(x) = \frac 14\sqrt[3]{9 - 3} + 2[/tex]
Evaluate the difference
[tex]g(x) = \frac 14\sqrt[3]{6} + 2[/tex]
Evaluate the exponent
[tex]g(x) = \frac 14 * 1.8 + 2[/tex]
[tex]g(x) = 0.45 + 2[/tex]
Evaluate the sum
[tex]g(x) = 2.45[/tex]
Approximate
[tex]g(x) = 2[/tex]
Hence, there are 2 million users online at 9 am
The function transformation
We have:
[tex]g(x) = \frac 14\sqrt[3]{x - 3} + 2[/tex]
The parent function is:
[tex]f(x) = \sqrt[3]{x}[/tex]
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
The domain and the range
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,[tex]\infty[/tex])
Read more about function transformation at:
https://brainly.com/question/1548871
