PLEASE answer ASAP!!! Need an A!!!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:1) B. (-infinity,-2) U (0.6,infinity)2) a(2x-1)(x+4)(x+1) where a is a constant multiple.3) C. [tex]\text{ As } x \right \infty,f \rightarrow \infty \text{ and }x \right -\infty,f \rightarrow -\infty[/tex]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=0.6A. 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=1/2Multiply both sides by 2:2x=1Subtract 1 on both sides:2x-1=0So 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.[tex]x \right -\infty[/tex] implies [tex]f \rightarrow -\infty[/tex]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.[tex]x \right \infty[/tex] implies [tex]f \rightarrow \infty[/tex]This in one line says:[tex]\text{ As } x \right \infty,f \rightarrow \infty \text{ and }x \right -\infty,f \rightarrow -\infty[/tex]