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Select the correct answer from each drop-down menu.

Use the given functions represented by the equation and the graph to complete the statements.

f(x)=2x^3 - 3x^2 + 5x + 7

As x approaches positive infinity, f(x) approaches [negative infinity, positive infinity, zero] and g(x) approaches [negative infinity, positive infinity, zero]. The y-intercept of function f is [equal to, less than, greater than] the y-intercept of function g.

Select the correct answer from each dropdown menu Use the given functions represented by the equation and the graph to complete the statements fx2x3 3x2 5x 7 As class=

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reinhard10158

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

xero099

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

How to analyze the behavior of two given polynomials

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/20121808 #SPJ5