Advanced MathEasy–MediumDifference of a cubic function at opposite inputs
Advanced Math practice question
The function f is defined by f(x) = x³. What is the value of f(2) − f(−2)?
Answer: 16
f(2) = 8 and f(−2) = −8, so f(2) − f(−2) = 8 − (−8) = 16.
Common wrong answers
- If you answered 0
- 0 treats f(−2) as 8, as if the function were x².
- If you answered 8
- 8 is f(2) alone.
- If you answered -16
- −16 reverses the subtraction.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.