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The two linear functions ƒ(x) and g(x) are shown below.

ƒ(x) =(5/6) x + 3

Which of the following is true?


~The product of the rate of changes of ƒ( x) and g( x) is -6.

~The rate of change of ƒ( x) is (20/21) times the rate of change of g( x).

~The rate of change of the function g( x) is –2.

~The rate of change of ƒ( x) is greater than the rate of change of g( x).

The two linear functions ƒx and gx are shown belowƒx 56 x 3Which of the following is trueThe product of the rate of changes of ƒ x and g x is 6The rate of chang class=

Respuesta :

Using linear function concepts, it is found that the correct statement is:

The rate of change of g( x) is greater than the rate of change of f( x).

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem, for function f, the rate of rate is of [tex]m_f = \frac{5}{6}[/tex].

For function g, it is given by:

[tex]m_g = \frac{0 - (-2)}{2 - 0} = 1 > m_f[/tex]

Hence:

The rate of change of g( x) is greater than the rate of change of f( x).

More can be learned about linear function concepts at https://brainly.com/question/24808124

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