16Hit 1600
Advanced MathMediumx-intercept of a shifted exponential

Advanced Math practice question

In the xy-plane, at what value of x does the graph of y = 3ˣ − 9 cross the x-axis?

Answer: 2

Set 3ˣ = 9: since 9 = 3², the crossing is at x = 2.

Common wrong answers

If you answered 3
3³ = 27; the needed power is 3² = 9.
If you answered 9
9 is the value 3ˣ must reach, not the exponent.
If you answered -9
−9 is the constant being subtracted; the graph crosses the x-axis where 3ˣ = 9, at x = 2.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.