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ivolga24 [154]
3 years ago
12

Which of the following summarizes the end behavior of the function g(x) = 4x2 - x?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity

In this problem we have

g(x)=4x^2-x

This is a vertical parabola open upward

The vertex is a minimum

so

as x approaches positive infinity ----> the value of g(x) approaches positive infinity

as x approaches negative infinity ----> the value of g(x) approaches positive infinity

f(x)→+∞, as x→−∞

f(x)→+∞, as x→+∞

see the attached figure to better understand the problem

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I tried them all and these two were correct, their solutions are as follows:

= f(x) = 1/2x + 3/2

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