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f(x)= 2 * 5^x which facts are true about the functions a. It is increasing b.The y intercept is (0,5) c.The y intercept is (0,2) d.The domain of f(x) is all real numbers e.The range of f(x) is y>5 f.It is decreasing
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\[f(x)=2\times 5^x\]?
c
definitely increasing because it is an exponential function and the base(5) is bigger than zero
so a is correct.
b is wrong because \[f(0)=2\times 5^0=2\]
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the above shows that c is correct as well.
d is also correct. you can raise 5 to any power that you wish
e is incorrect. we already know that \[f(0)=2\] so it makes no sense to say the range is \[y>5\]
and if is incorrect because if it is increasing it cannot be decreasing!
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