Final answer:
To evaluate the piecewise function at various intervals, select the appropriate segment for the given x value, substitute x into the equation, and calculate f(x). For x values less than 5, use f(x) = x+4; for x between 5 and 7, f(x) is constantly 8; for x between 7 and 10, use f(x) = 2x-1.
Step-by-step explanation:
The piecewise function in question is defined as f(x) = x+4 for x < 5, f(x) = 8 for 5≤x<7, and f(x) = 2x−1 for 7≤x≤10.
- For x values less than 5, f(x) is calculated as x+4. Any x that is less than 5, plug it into the function f(x) = x+4 to find the corresponding f(x) value.
- When x lies between 5 and 7, the function value is a constant 8. Regardless of the x-value in this interval, f(x) will be 8.
- For x values between 7 and 10, f(x) is given by 2x-1. To find f(x), multiply the x value by 2 and subtract 1.
To solve for f(x) at different x intervals as per the function:
- Evaluate the appropriate piecewise segment based on the value of x provided.
- Use substitution to replace x with the given value in the segment's equation.
- Calculate the resultant value to find f(x).