Nusret Balcı TMUA Paper 1 · Question 5

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Nusret Balcı TMUA Paper 1 · Q5

Paper 1Functions & graphsNumber & countingAlgebra

The function $f(x)$ is defined for all real numbers $x$ by:

f(x)=8^x-6\cdot4^x+9\cdot2^x

Let $S$ be the set of all integer values of $k$ such that the equation $f(x)=k$ has exactly three distinct real solutions.

What is the number of elements in the set $S$ ?

0

1

2

3

4

5

GInfinitely many

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