which equation represents an exponential function that passes through the point (2, 80)?\n$f(x)=4(x)^{5}$\n$f…

which equation represents an exponential function that passes through the point (2, 80)?\n$f(x)=4(x)^{5}$\n$f(x)=5(x)^{4}$\n$f(x)=4(5)^{x}$\n$f(x)=5(4)^{x}$

which equation represents an exponential function that passes through the point (2, 80)?\n$f(x)=4(x)^{5}$\n$f(x)=5(x)^{4}$\n$f(x)=4(5)^{x}$\n$f(x)=5(4)^{x}$

Answer

Explanation:

Step1: Substitute x = 2 into each function

For (f(x)=4(x)^{5}), when (x = 2), (f(2)=4\times(2)^{5}=4\times32 = 128). For (f(x)=5(x)^{4}), when (x = 2), (f(2)=5\times(2)^{4}=5\times16 = 80). For (f(x)=4(5)^{x}), when (x = 2), (f(2)=4\times(5)^{2}=4\times25 = 100). For (f(x)=5(4)^{x}), when (x = 2), (f(2)=5\times(4)^{2}=5\times16 = 80).

Answer:

B. (f(x)=5(x)^{4}), D. (f(x)=5(4)^{x})