Emilypor34
Answered

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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

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