Question

Which of the two functions below has the smallest minimum y-value?

f(x) = (x - 13)4-2
g(x) = 3x3 + 2

Answer 1

To find the function with the smallest minimum y-value, we need to compare the given functions. f(x) = (x - 13)^4 - 2 has the smallest minimum y-value of -2.

Step-by-step explanation:

To find the function with the smallest minimum y-value, we need to analyze the given functions and compare their minimum values.

For function f(x) = (x - 13)^4 - 2, the minimum y-value occurs when x = 13. Substituting x = 13 into the function, we get f(13) = (13 - 13)^4 - 2 = -2.

For function g(x) = 3x^3 + 2, there is no minimum y-value as the function continues to increase as x goes to infinity.

Therefore, function f(x) = (x - 13)^4 - 2 has the smallest minimum y-value of -2.