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MATH / Let f(x)=⌊(−(5)/(8))^(x)⌋ be a function that is defined for all values of x in [0,∞) such that f(x) is a real number. How many distinct values exist in the range of f(x)?

Problem

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problem

Let f(x)=⌊(−58)x⌋f(x)=\left\lfloor\left(-\frac58\right)^x\right\rfloor be a function that is defined for all values of xx in [0,∞)[0,\infty) such that f(x)f(x) is a real number. How many distinct values exist in the range of f(x)f(x)?
Plain-text mathematical notation (without MathML)
Let f(x)=⌊(−(5)/(8))^(x)⌋ be a function that is defined for all values of x in [0,∞) such that f(x) is a real number. How many distinct values exist in the range of f(x)?
Original LaTeX notation
Let $f(x)=\left\lfloor\left(-\frac58\right)^x\right\rfloor$ be a function that is defined for all values of $x$ in $[0,\infty)$ such that $f(x)$ is a real number. How many distinct values exist in the range of $f(x)$?

level

Level 5

type

Algebra

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Source and history

task_id
9826d849-6590-5139-9249-e0c70f747ba0
task_key
algebra--test--9826d849-6590-5139-9249-e0c70f747ba0
task_revision_id
1
config / split
algebra / test

Official source

initial import