Consider the functions f(x) = logb(x) and g(x) = a · logb(x). No matter the base, when a positive value is substituted for a as compared to the parent function f(x), and a > 1, the graph of g(x) results in a . No matter the base, when a positive value is substituted for a as compared to the parent function f(x), and 0 < a < 1, the graph of g(x) results in a . No matter the base, when a negative value is substituted for a as compared to the parent function f(x), the graph of g(x) results in a .

What value of x will make the triangles similar by the sss similarity theorem?

40 describe the outliers from the scatter plot.

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.