Explanation: #"given the roots of a polynomial, say"# #x=a,x=b" and "x=c# #"then the factors are" (x-a), (x-b)" and " (x-c)# #"the polynomial is the product of the factors"# #rArrp (x)=k (x-a) (x-b) …

The point of change is at x=0. This corresponds to where f (x)=x^3 is concave then convex. Graph of f (x)=3x^2 graph {3x^2 [-7.9, 7.904, -3.95, 3.95]} Since the second derivative is the …

The answer is A. The graph of y = (x- p)^2 + q is a transformation of p units right-hand and q units up. Here p = -5 and q = -9. So, 5 units to the left and 9 units down. The answer is therefore A. …

Apr 30, 2018 · .There was a proposal for the new size of the advisory boards to be placed at strategic locations along the expressway. The board must contain 50 square meters of print …

Yes Consider the function: f(x) = 1/(1+x^2)+(x+abs(x))/2 This is continuous on the whole of RR, with horizontal asymptote y=0 and oblique asymptote y=x graph{1/(1+x^2)+(x+abs(x))/2 [-10, …

B. One root graph {x^7+5x+12 [-10, 10, -5, 5]} The graph shows the only root of the graph. A x^7 polynomial can have up to 7 roots, but it needs x^6, x^5, etc. terms. Try it out on Desmos

The range is the list of resulting values after we plug in #x# values. See that the smallest value #x^2# can be is 0 - it can't be negative. And so the smallest value #x^2-3# can be is #-3#. This …

Limits Involving Trigonometric Functions Intuitive Approach to the derivative of y=sin (x) Derivative Rules for y=cos (x) and y=tan (x) Differentiating sin (x) from First Principles Special Limits …

Hence, #f (x)# has the graph of the standard parabolic function #y=x^2# shifted by 2 units positive ("Up") on the #y-# axis.

The domain is x in [-5, 7) The piecewise function is { (x^2-2, AA x in [-5,3)) , (x-4, AA x in [3,7)) : } The graph is graph { (y-x^2+2) (y-x+4)=0 [-5, 7, -3.95, 3.95]} The domain is x in [-5, 7)