Review the graph of f(x) = RootIndex 5 StartRoot x EndRoot and the graph of the transformed function g(x). On a coordinate plane, y = f (x) curves up through (negative 1, negative 1) to inflection point (0, 0), and then curves up through (1, 1). Y = g (x) curves down through (negative 5, 2) to inflection point (negative 4, 0), and then curves down through (negative 3, negative 2) and (4, negative 3).

If g(x) = a · f(x + b), how is f(x) transformed to get g(x)?

–2f(x + 4)
–2f(x – 4)
–f(x + 4)
–f(x – 4)

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

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.

The candy store is having a 30% off sale. emma is going to buy $7.50 worth of candy. how much will she pay after the discount