I think what guest meant was
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 \(f(x)\)
Anyways, this problem was already answered by Omi67 here: https://web2.0calc.com/questions/please-help-asap_26