Advanced MathEasy–Mediumx-intercept of a shifted exponential graph
Advanced Math practice question
In the xy-plane, the graph of y = 2^x − 8 crosses the x-axis at one point. What is the x-coordinate of that point?
Answer: 3
Set y = 0: 2^x = 8 = 2³, so x = 3.
Common wrong answers
- If you answered 4
- 4 comes from 2^x = 16 or 2 × 4 = 8, confusing multiplication with a power.
- If you answered 8
- 8 is the value 2^x must equal, not x.
- If you answered -7
- −7 is the y-intercept (2⁰ − 8), not the x-intercept.
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.