11 points
explain how to find the y-intercept of a graph.

Find the equation of the line with slope =8 and passing through (6,53) write your equation in the form y=mx+b

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.

Adele is five years older than timothy. in three years, timothy will be 2/3 of adele’s age. what is adele‘s current age?