Functions quiz
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How much is $2^x$ at $x = 0$?
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More questions about Functions
These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.
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Which word names a function's set of allowed inputs?
Answer: Domain
Why: The tempting range is the output side: the values the function actually produces, which may be fewer than its codomain allows.
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Where does the floor function send -2.5?
Answer: -3
Why: Floor picks the nearest integer at or below the number, which for -2.5 is -3; the tempting -2 is its ceiling.
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Which graph crosses its own horizontal asymptote?
Answer: $\frac{\sin x}{x}$
Why: A horizontal asymptote only describes the far ends of a graph, so crossing it, even infinitely often like this one, breaks no rule.
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Which letter does the graph of $y = |x|$ look like?
Answer: V
Why: Unlike the rounded U of $y = x^2$, the V has a sharp corner at 0, where the graph has no single slope.
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What shifts the graph of $f(x)$ three units right?
Answer: $f(x - 3)$
Why: At $x = 3$ the new graph does what $f$ did at 0, at 4 what it did at 1, so every point lands 3 units right.
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What grows fastest as x becomes huge?
Answer: $1.01^x$
Why: Its tiny base wins slowly: $1.01^x$ only overtakes $x^{100}$ for good at about x = 117,000.
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