Question

Question
Which of the following functions has the values of its range increase as the values of the domain increase?(1 point)
Responses

f(x)=(0.9)x

f of x is equal to 0 point 9 to the x th power

f(x)=13(4)x

f of x is equal to 1 third times 4 to the x th power

f(x)=5(0.5)x

f of x is equal to 5 times 0 point 5 to the x th power

f(x)=(0.7)x

Answer 1

f(x) = (1/3)·4^x

Reason: an exponential a·b^x is increasing when the base b>1. Here b=4>1, so the function grows as x increases. The others have bases 0.9, 0.5, or 0.7 (<1), so they decrease.