Question

Which is the graph of f(x) = 2(3)x?

Answer 1

first graph

Explanation:

given:
`f(x) = 2(3)^(x)`

substitute some values for x and see which curves accurately reflect the corresponding y-values:

when x = 0, f(0) = 2(3)^0 = 2(1) = 2

hence the graph must pass through the point (0,2)

We can see from the choices that the 2nd and 4th graphs do not pass through (0,2), so we can eliminate these 2 from consideration

when x = 1, f(1) = 2(3)^1= 2(3) = 6

hence the graph must pass through the point (1,6)

We can see that the 3rd graph does not pass through this point so we can eliminate the 3rd graph also.

Only the 1st graph gives points consistent with the 2 cases above.

Answer 2

a

Explanation:

if f(x)=y then when x is 1 2(3)^X= 6