Answer:
The given expression defines a piecewise function, F(x), which has different forms depending on the value of x.
For x ≤ 2, the function is defined as F(x) = 4x - 5.
This means that when x is less than or equal to 2, the value of F(x) is obtained by substituting x into the expression 4x - 5.
For x > 2, the function is defined as F(x) = 4x + 5.
This means that when x is greater than 2, the value of F(x) is obtained by substituting x into the expression 4x + 5.
To evaluate the function for specific values of x, you need to determine the appropriate form of the function based on the given conditions and then substitute the value of x into the corresponding expression.
For example:
- If x = 1, since 1 is less than or equal to 2, we use the first form of the function:
F(1) = 4(1) - 5 = -1.
- If x = 3, since 3 is greater than 2, we use the second form of the function:
F(3) = 4(3) + 5 = 17.
Remember to apply the correct form of the function based on the given conditions for x.
