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Identify the function family to which f belongs. Then compare the graph of f to the graph of its parent function f(x) = 5x-2

Respuesta :

MrRoyal

The function family of f(x) = 5x - 2 is the linear function and the comparison of the graphs of y = x and f(x) = 5x - 2 is that:

  • Vertical stretch of a factor of 5
  • Left translation by 2 units

How to compare the functions?

The function is given as:

f(x) = 5x - 2

Linear functions are represented as:

y = mx + c

The equation f(x) = 5x - 2 take the form of a linear function.

And the parent function of a linear function is y = x

Hence, the function family of f(x) = 5x - 2 is the linear function

The comparison of the graphs of y = x and f(x) = 5x - 2 is that:

  • Vertical stretch of a factor of 5
  • Left translation by 2 units

Read more about linear functions a:

https://brainly.com/question/4025726

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