Question

What is f(-5) if f(x)=|2x-1|+10?
A. 21
B. 19
C. -1
D. -21

Answer 1

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.

Answer 2

A. 21

Step-by-step explanation:

To find
`\sf f(-5)` for the function
`\sf f(x) = |2x - 1| + 10`, substitute
`\sf x = -5` into the function:

`\sf f(-5) = |2(-5) - 1| + 10`

Simplify the expression:

`\sf f(-5) = |-10 - 1| + 10`

`\sf f(-5) = |-11| + 10`

Since the absolute value of -11 is 11:

`\sf f(-5) = 11 + 10`

`\sf f(-5) = 21`

So, the correct answer is:

A. 21