Given the functions f(x)=2x^3 and g(x)=8.2^x
f(5)=g(5)
f(5)>g(5)
f(5)<g(5)
To compare f(5) and g(5), we need to evaluate both functions at x=5.
For f(x)=2x^3, when x=5, we have:
f(5) = 2(5)^3 = 2(125) = 250
For g(x)=8.2^x, when x=5, we have:
g(5) = 8.2^5 ≈ 8.2(33.64) ≈ 275.968
Comparing the two values:
f(5) = 250
g(5) ≈ 275.968
Since 250 < 275.968, we can conclude that f(5) < g(5).