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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)

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

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

3) C.

Step-by-step explanation:

1)

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

A.

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

B.

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.

C.

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

D.

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.

2)

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.

implies

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.

implies

This in one line says:

what is the answer?

just watch memes

step-by-step explanation:

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