Respuesta :

xenia168

Answer:

Step-by-step explanation:

There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:

(A) The graph is no parabola for this function.

(B) The  parabola for " - x² " is opened downward.

(C) The  parabola for this function is also opened downward.

(D) This one option is the answer. The y-intercept is (-2)

According to the y-intercept and it's behavior, the function that could have created it's graph is:

D. [tex]F(x) = x^4 + 2x - 2[/tex]

This function has a negative y-intercept, that is, when [tex]x = 0[/tex], y has a negative value, which means that options A and B are incorrect.

The function also points upwards, which means that the leading coefficient, that is, the multiplier of the value of x with the highest exponent is positive, hence option C is incorrect.

Thus, the function is:

D. [tex]F(x) = x^4 + 2x - 2[/tex]

A similar problem is given at https://brainly.com/question/15446728

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