Answer:
Linear function
Explanation:
Given
![f(x) = -(1)/(4)x + 5](https://img.qammunity.org/2022/formulas/mathematics/college/kuy7i263riplmrby51cz0hmff6o2gzp55f.png)
Required
Linear or Exponential
A linear equation has the form:
;
An exponential has the form:
![f(x) = ab^x](https://img.qammunity.org/2022/formulas/mathematics/high-school/6fsefjmvvu8twodn8cxvemp1o3jq21s79o.png)
By comparing both functions to:
![f(x) = -(1)/(4)x + 5](https://img.qammunity.org/2022/formulas/mathematics/college/kuy7i263riplmrby51cz0hmff6o2gzp55f.png)
The linear function is similar to
![f(x) = -(1)/(4)x + 5](https://img.qammunity.org/2022/formulas/mathematics/college/kuy7i263riplmrby51cz0hmff6o2gzp55f.png)
Hence, the given function is a linear function.