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Which function is increasing?? :)

Which function is increasing?? :)-example-1
User Kabeer
by
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1 Answer

6 votes

Answer:


\large\boxed{B.\ f(x)=4^x}

Explanation:

Exponential function
f(x)=(a)^x is

increasing if
a > 1\to a\in(1,\ \infty)

decreasing if
0 < a < 1\to a\in(0,\ 1)


A.\ f(x)=\left((1)/(4)\right)^x\to a=(1)/(4)\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left((1)/(2)\right)^x\to a=(1)/(2)\in(0,\ 1)\to\text{decreasing}

User FZE
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