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Please Help!!! What is the end behavior of function h? h(x)=2(x-3)^2 As x approaches negative infinity, approaches negative infinity, positive infinity, or a constant . As x approaches positive infinity, approaches negative infinity, positive infinity, or a constant .

Please Help What is the end behavior of function h hx2x32 As x approaches negative infinity approaches negative infinity positive infinity or a constant As x ap class=

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Answer:

Step-by-step explanation:

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

As x approaches to negative infinity, h(x) approaches to positive infinity.

As x approaches to positive infinity, h(x) approaches to positive infinity.

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A) As x approaches negative infinity, h(x) approaches positive infinity.

B ) As x approaches positive infinity, h(x) approaches positive infinity.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since the coefficient of the leading term (a term with the highest power) is positive, the parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

Therefore As x approaches negative infinity, h(x) approaches to positive infinity. As x approaches positive infinity, h(x) approaches to positive infinity.

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