Respuesta :

Answer:

Linear function

Step-by-step explanation:

Given

[tex]f(x) = -\frac{1}{4}x + 5[/tex]

Required

Linear or Exponential

A linear equation has the form: [tex]f(x) = mx + c[/tex];

An exponential has the form: [tex]f(x) = ab^x[/tex]

By comparing both functions to: [tex]f(x) = -\frac{1}{4}x + 5[/tex]

The linear function is similar to [tex]f(x) = -\frac{1}{4}x + 5[/tex]

Hence, the given function is a linear function.