Answer:
![f(x) = x^2 , x < 2](https://img.qammunity.org/2020/formulas/mathematics/high-school/5uphwi7quzxzr2ybcdqgbq4tvbujas9ju5.png)
![f(x) = 5, 2\leq x < 4](https://img.qammunity.org/2020/formulas/mathematics/high-school/pddy3dibaayos9k3n8y0wvbmdk33b8uuzn.png)
Explanation:
We are given a graph with a parabola and a line it it.
The parabola in the given graph goes until x = 2 but is not able to reach that very value. So x = 2 starts on the line above where x = 2 and ends just before the value of x = 4.
Therefore, this can be modeled by:
![f(x) = x^2 , x < 2](https://img.qammunity.org/2020/formulas/mathematics/high-school/5uphwi7quzxzr2ybcdqgbq4tvbujas9ju5.png)
![f(x) = 5, 2\leq x < 4](https://img.qammunity.org/2020/formulas/mathematics/high-school/pddy3dibaayos9k3n8y0wvbmdk33b8uuzn.png)