MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
What is the range of the function f(x) = 5ˣ?
Think it through first, then pick an option.
- a (0, −∞)
- b (0, ∞)
- c (−∞, 0)
- d (∞, 0)
Answer and explanation
Correct answer: b (0, ∞)
5ˣ is always positive and can be as large as we like, so the range is (0, ∞).
Why the other options are wrong
- a (0, −∞): (0, −∞) has its ends in the wrong order; 5ˣ is always positive and the range is (0, ∞).
- c (−∞, 0): (−∞, 0) means negative values; 5ˣ is never negative.
- d (∞, 0): (∞, 0) is not a valid way to write an interval; the right range is (0, ∞).
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