Mathematics, 06.12.2019 03:31 tyreannag2423

Answer ! need an !
1. the following is a graph of a function of x, which is the interval(s) on which the function is increasing? (first image)
a. (0, -9.5)
b. (-∞, -2) ∪ (0.6,∞)
c. (-2, 0.6)
d. (-∞, 0) ∪ (-9.5, ∞)

2. the zeroes of a polynomial function are 1/2, -4, and -1. what are the factors?

3. which describes the end behavior of the polynomial function? (second and third image)

Answer ! need an ! 1. the following is a graph of a function of x, which is the interval(s)

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Answer from: sofigaviria05

1) B. (-infinity,-2) U (0.6,infinity)

2) a(2x-1)(x+4)(x+1) where a is a constant multiple.

3) C. $\text{ As } x \right \infty,f \rightarrow \infty \text{ and }x \right -\infty,f \rightarrow -\infty$

Step-by-step explanation:

The function is rising before x=-2.

The function is decreasing while x is between -2 and 0.6.

The function is rising after x=0.6

On the interval (0,-9.5), the function decreases then increases so the function isn't purely increasing on this interval.

On the in interval (-infinity,-2) U (0.6, infinity), the function is rising on the first interval and also rising on the second interval as stated above.

On the interval (-2,0.6), the function is decreasing since it is falling.

On the interval (-infinity,0) the function is rising then falling.

On the interval (-9.5,infinity) the function is rising, falling, then rising again.

So of these choices, the answer is B.

If c is a zero, then x-c is a factor.

If x=1/2 is a zero, then x-1/2 is a factor.

Or!

x=1/2

Multiply both sides by 2:

2x=1

Subtract 1 on both sides:

2x-1=0

So instead of saying x-1/2 is a factor, you could use 2x-1 instead. We are going to slap a constant multiple of unknown value on the end product anyways.

If x=-4 is a zero, then x+4 is a factor.

If x=-1 is a zero, then x+1 is a factor.

So putting this all together, a polynomial with these zeros could be:

a(2x-1)(x+4)(x+1)

where a is an unknown constant multiple.

3) The graph is pointing down on the left side because that is where the curve continues at.

So on the left side, that means as x approaches negative infinity, f approaches negative infinity because of the down part.

$x \right -\infty$ implies $f \rightarrow -\infty$

The graph is point up on the right side because that is where the curve continues at.

So on the right side, that means as x approaches positive infinity, f approaches positive infinity because of the up part.

$x \right \infty$ implies $f \rightarrow \infty$

This in one line says:

$\text{ As } x \right \infty,f \rightarrow \infty \text{ and }x \right -\infty,f \rightarrow -\infty$

Answer ! need an ! 1. the following is a graph of a function of x, which is the interval(s) on whi

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the perimeter is increased by a factor of 2

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congruent segments

step-by-step explanation:

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