Advanced MathEasy–MediumGraph of an exponential function: which is true
Advanced Math practice question
The function f is defined by f(x) = 3(2)ˣ. Which statement about the graph of y = f(x) in the xy-plane is true?
- A. Its y-intercept is 3, and y increases as x increases.Correct
- B. Its y-intercept is 2, and y increases as x increases.
- C. Its y-intercept is 3, and y decreases as x increases.
- D. Its y-intercept is 6, and y increases as x increases.
Answer: A. Its y-intercept is 3, and y increases as x increases.
f(0) = 3(1) = 3, and a base of 2 > 1 means growth.
Why the other answers are wrong
- B. Its y-intercept is 2, and y increases as x increases.
- 2 is the base, not the intercept.
- C. Its y-intercept is 3, and y decreases as x increases.
- A base greater than 1 gives growth, not decay.
- D. Its y-intercept is 6, and y increases as x increases.
- 6 is f(1), not f(0).
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