Evaluate the piecewise function f(x)= 7 if x is < or equal to -4; -14 if -4<x<orequalto 3 for x =-5 and x=8; -8 if 3<x
To evaluate the piecewise function at different values of x, we need to follow the conditions given for each range and substitute the values of x into the respective expressions.
For x = -5:
- Since x is less than or equal to -4, we use the first condition of the piecewise function.
- Therefore, we substitute x = -5 into the expression given by the first condition: f(x) = 7.
- So, f(-5) = 7.
For x = 8:
- The given conditions do not cover x = 8.
- We need to use the third condition, which states that if x is greater than 3, then f(x) = -8.
- Therefore, f(8) = -8.
So, f(-5) = 7 and f(8) = -8.