Question

Which ordered pairs lie on the graph of the exponential function f(x)=3(14)xf(x)=3(14)x ? Select each correct answer.

a.​ (−2,48) ​

​b. (0,3) ​

​c. (2,316) ​

​d. (12,0) ​

Answer 1

This is correct

Explanation:

Answer 2

Option b. (0,-3)

Explanation:

Given is an exponential function f(x) = 3·(14)ˣ

where initial value is 3 and growth rate is 14.

We can try each option and plug the x-value into it to check whether we get same y-value (as given in option) or not. If we get same y-value, then that would be solution of the exponential function.

`f(-2) = 3*14^(-2) = (3)/(196) \\f(0) = 3*14^(0) = 3 \\f(2) = 3*14^(2) = 588 \\f(12) = 3*14^(12) = 1.700817371*10^(14)`

It is clearly visible that only (0,3) satisfies the given equation.

Hence, option B is correct, i.e. (0,3).