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.