Emilypor34
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

4. Here are the equations that define three functions.
f(x) = 4x - 5
=
g(x) = 4(x - 5)
h(x) =x/4 -5
a. Which function value is the largest: f(100), g(100), or h(100)?
b. Which function value is the largest: f(-100), g(-100), or h(-100)?
c. Which function value is the largest: f(1/100), g(1/100), or h(1/100)?

Sagot :

MrRoyal

The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
  • The function value that is largest is f(1/100)

How to determine the function with the largest values

The functions are given as:

[tex]f(x) = 4x - 5[/tex]

[tex]g(x) = 4(x - 5)[/tex]

[tex]h(x) = x/4 -5[/tex]

At x = 100, we have:

[tex]f(100) = 4 * 100 - 5 = 395[/tex]

[tex]g(100) = 4 * (100 - 5) = 380[/tex]

[tex]h(100) = 100/4 - 5 = 20[/tex]

Hence, the function value that is largest is f(100)

At x = -100, we have:

[tex]f(-100) = -4 * 100 - 5 = -405[/tex]

[tex]g(-100) = 4 * (-100 - 5) = -420[/tex]

[tex]h(-100) = -100/4 - 5 = -30[/tex]

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

[tex]f(1/100) = 4/100 - 5 = -4.96[/tex]

[tex]g(1/100) = 4 * (1/100 - 5) = -19.96[/tex]

[tex]h(1/100) = (1/100)/4 - 5 = -4.9975[/tex]

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

https://brainly.com/question/15602982

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.