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The function
g(x) = 1/4^3sqrt x – 3 + 2 represents, in millions, the number of users who have
Logged into a website since midnight.

1A (10 points) How many users have logged in by 9am? Round
your answer to the nearest whole number.
1C (16 points) Describe, using complete sentences, the 3 (three)
transformations from the parent function f(x) = ^3Sqrt x
1B (10 points) What is the domain & range of this function?
Show your answer as either an inequality or in interval notation.

The Function Gx 143sqrt X 3 2 Represents In Millions The Number Of Users Who Have Logged Into A Website Since Midnight 1A 10 Points How Many Users Have Logged I class=

Sagot :

MrRoyal

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

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