Without using technology, describe the end behavior of f(x) = 3x^4 + 8x^2 - 22x + 43.

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.

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The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curve

natka813 [3]

The volume formula of a cylinder is given as:

V = π r^2 h

So plugging in the value of the volume:

10 ft^3 = π r^2 h

The formula for the surface area of cylinder is:

s = 2 π r h + 2 π r^2

plugging in eqtn 1:

s = 2 π r [10 / (π r^2)] + 2 π r^2

<span>s = (20 / r) + 2 π r^2 (ANSWER)</span>