Question: In the function f(x) = |x|, what is the value of f(-3)?
Options:
-3
0
3
Undefined
Correct Answer: 3
Solution:
The absolute value function returns the non-negative value of x, so f(-3) = 3.
In the function f(x) = |x|, what is the value of f(-3)?
Practice Questions
Q1
In the function f(x) = |x|, what is the value of f(-3)?
-3
0
3
Undefined
Questions & Step-by-Step Solutions
In the function f(x) = |x|, what is the value of f(-3)?
Step 1: Understand the function f(x) = |x|. This means we are looking for the absolute value of x.
Step 2: Identify the value of x we need to use. In this case, x = -3.
Step 3: Apply the absolute value function to -3. The absolute value of a number is its distance from 0 on the number line, without considering direction.
Step 4: Since -3 is negative, its absolute value is 3.
Step 5: Therefore, f(-3) = 3.
Absolute Value Function – The absolute value function, denoted as |x|, returns the non-negative value of x regardless of its sign.
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