Final answer:
To calculate f(-5), substitute -5 into the function, evaluate the expression inside the absolute value, then add 10. The result is f(-5) = 21, which corresponds to answer choice A.
Step-by-step explanation:
To find f(-5) when f(x) = |2x - 1| + 10, we first substitute -5 into the function for x:
f(-5) = |2(-5) - 1| + 10
Next, we calculate the value inside the absolute value sign:
f(-5) = |(-10) - 1| + 10
Then we solve the equation inside the absolute value, which gives:
f(-5) = |-11| + 10
The absolute value of -11 is 11, so we continue:
f(-5) = 11 + 10
Finally, we add 11 and 10 to get the result:
f(-5) = 21
Therefore, the correct answer is A. 21.