Select the correct statements for the exponential function f(x)=ax;0<a<1.
A
Range f(x)∈R
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B
Range f(x)∈(−∞,0)
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C
f(x)→∞ as x→−∞
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D
Domain x∈R
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Solution
The correct option is D Domain x∈R Given the exponential function f(x)=ax;0<a<1
Now, we can have the graph drawn for this function as:
Now, from the graph, it's can be conclued that
Domain x∈R
Range f(x)∈(0,∞)
Also, as x→−∞,f(x)→∞