Question

The function

Answer 1

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,$\infty$)

The number of users at 9am

The function is given as:

$g(x) = \frac 14\sqrt[3]{x - 3} + 2$

At 9am, x = 9.

So, we have:

$g(x) = \frac 14\sqrt[3]{9 - 3} + 2$

Evaluate the difference

$g(x) = \frac 14\sqrt[3]{6} + 2$

Evaluate the exponent

$g(x) = \frac 14 * 1.8 + 2$

$g(x) = 0.45 + 2$

Evaluate the sum

$g(x) = 2.45$

Approximate

$g(x) = 2$

Hence, there are 2 million users online at 9 am

The function transformation

We have:

$g(x) = \frac 14\sqrt[3]{x - 3} + 2$

The parent function is:

$f(x) = \sqrt[3]{x}$

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,$\infty$)

Read more about function transformation at:

brainly.com/question/1548871