What is the limit of the function?

f(x)=4x8−3x7+2x−11

select true or false for each statement.

limit statement true false
limx→−∞f(x)=∞
limx→∞f(x)=−∞

The true and false statements concerning the limit of the function is:

The given function is:

To find , substitute into f(x)

To find , substitute into f(x)

Therefore:

For

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Step-by-step explanation:

The function in question is f(x) = 4x^8 - 3x^7 + 2x - 11.  The 4x^8 term is the dominant one when we focus on limits at plus or minus infinity.  For all practical terms this f(x) is f(x) = 4x^8, an even power of x.

Limit statement #1:  limx→−∞f(x)=∞ looks like 4(−∞)^8, which works out to +∞.  The first limit statement is thus true.

Limit statement #2:  limx→−∞f(x)=∞ looks like 4(∞)^8, which works out to +∞

The second limit statement is thus false.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

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step-by-step explanation: