Advanced MathEasy–MediumPoint on the graph of a shifted exponential
Advanced Math practice question
Which of the following points lies on the graph of f(x) = 3ˣ + 1 in the xy-plane?
- A. (0, 2)Correct
- B. (1, 3)
- C. (0, 1)
- D. (2, 7)
Answer: A. (0, 2)
f(0) = 3⁰ + 1 = 1 + 1 = 2.
Why the other answers are wrong
- B. (1, 3)
- f(1) = 3 + 1 = 4, not 3.
- C. (0, 1)
- f(0) = 2, not 1; the +1 shifts the graph up.
- D. (2, 7)
- f(2) = 9 + 1 = 10, not 7.
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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 ?
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