Respuesta :

MissPhiladelphia
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]

[tex]y = 3x^2[/tex]

[tex]y = 2x^6[/tex]

Step-by-step explanation:

LEts check with each function

[tex]y = 5x [/tex] , it is a linear function.

Linear function does not have minimum

[tex]y = x^3[/tex], Cubic parent function does not have minimum

[tex]y = -2x^6[/tex], we have -2 (negative) . Leading coefficient is negative so, there will be a maximum

[tex]y = 4x^4[/tex],leading coefficient is positive so it have a minimum

[tex]y = 3x^2[/tex], leading coefficient is positive so it have a minimum

[tex]y = 2x^6[/tex], leading coefficient is positive so it have a minimum

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