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)
Accepted Solution
A:
Answer:Option b. (0,-3)Step-by-step explanation:Given is an exponential function f(x) = 3·(14)ˣwhere 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.[tex]f(-2) = 3*14^{-2} = \frac{3}{196} \\f(0) = 3*14^{0} = 3 \\f(2) = 3*14^{2} = 588 \\f(12) = 3*14^{12} = 1.700817371*10^{14}[/tex]It is clearly visible that only (0,3) satisfies the given equation.Hence, option B is correct, i.e. (0,3).