Question

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

f(x) = x4 - 2
g(x) = 3x3 + 2

Answer 1

out of the two functions g(x) attains the minimum y-value.

Explanation:

We are given the function
`f(x)=x^4-2` and
`g(x)=3x^3+2`.

now we have two check out of the two functions above which has the smallest minimum y-value.

Clearly from the graph attached to the solution of f(x) and g(x), we could see that for f(x) the minimum value of y is -2 while for g(x) the value of y goes on decreasing as x goes to minus infinity.

Hence g(x) attains the minimum value for y.