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.
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