Stephanie is exploring the key features of the functions f(x)= 5/x5 and g(x) = 4x+5/x She says that the graphs of the two functions will have the same vertical asymptote but different horizontal asymptotes because she can define
function gas a transformation of function fand g(x) = fx) + 4. Which statement is true?

Dilations map circles to circles and ellipses to ellipses with the same. true or false

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Examine this system of equations. what integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated? 3/4x+1/7y=6 1/8x-3/5y=16