3. Let F(x)=(2/3)^x
Complete each statement.
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Answer:
See explanation
Step-by-step explanation:
Let [tex]F(x)=\left(\dfrac{2}{3}\right)^x.[/tex] Plot the graph of this function. From the graph:
A. The domain of the function is [tex]x\in (-\infty,\infty).[/tex]
B. The range of the function is [tex]y\in (0,\infty).[/tex]
C. The y-intercept of the graph of F(x) is [tex](0,1).[/tex]
D. The horizontal asymptote is x-axis.
E. The graph of the function F(x) is decreasing from left to right.
F. The value [tex]\frac{2}{3}[/tex] determines that the graph of the function is decreasing from the left to the right.