Advanced MathEasyIdentifying a decreasing function
Advanced Math practice question
Which of the following functions decreases as x increases, for all values of x?
- A. y = (1/2)ˣCorrect
- B. y = 2ˣ
- C. y = x²
- D. y = x + 1
Answer: A. y = (1/2)ˣ
A base between 0 and 1 makes an exponential function decrease everywhere.
Why the other answers are wrong
- B. y = 2ˣ
- A base greater than 1 gives growth.
- C. y = x²
- x² decreases for negative x and increases for positive x.
- D. y = x + 1
- A line with positive slope increases.
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