Identify the monomial function(s) that have a minimum. y = 5x y = x3 y = –2x6 y = 4x4 y = 3x2 y = 2x6
y = 5x - This does not have a minimum.
y = x3 - This does not have a minimum
y = –2x6 - This does not have a minimum.
y = 4x4 - This has a minimum
y = 3x2 - This has a minimum
y = 2x6 - This has a minimum
Functions with the positive leading coefficient and even exponent will have a minimum
Answer:
tex]y = 4x^4[/tex]
\(y = 3x^2\)
\(y = 2x^6\)
Step-by-step explanation:
LEts check with each function
\(y = 5x\) , it is a linear function.
Linear function does not have minimum
\(y = x^3\), Cubic parent function does not have minimum
\(y = -2x^6\), we have -2 (negative) . Leading coefficient is negative so, there will be a maximum
\(y = 4x^4\),leading coefficient is positive so it have a minimum
\(y = 3x^2\), leading coefficient is positive so it have a minimum
\(y = 2x^6\), leading coefficient is positive so it have a minimum