A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: x3927Product 2h(x) = x2 + 3x + 10142028 Based on the data in the table, for which product does the price eventually exceed all others, and why? a Product 1, because the function is exponential b Product 2, because the function is exponential c Product 1, because it has a lower start value d Product 2, because it has a greater Year 3 value

A company launches two new products. The market price, in dollars, of the two …

(08.05 MC) The following function represents the production cost f(x), in dollars, for x number of units produced by company 1: f(x) = 0.25x2 − 8x + 600 The following table represents the production cost g(x), in dollars, for x number of units produced by company 2: x g(x) 6 862.2 8 856.8 10 855 12 856.8 14 862.2 Based on the given information, determine which company has a lower minimum and find the minimum value. a g(x) at (10, 855) b f(x) at (16, 536) c g(x) at (16, 536) d f(x) at (10, 855)

(08.05 MC) The following function represents the production cost f(x), in dol…

The graph of f(x) is transformed into the graph of g(x), such that g(x) = k ⋅ f(x). graph of the function of f of x is a downward opening parabola with vertex at the origin and the graph of g of x a downward opening parabola with vertex at the origin with a narrower opening than f of x Which of the statement describes the transformation? a The graph of g(x) is a vertical shrink of the graph of f(x), with the k between −1 and 0. b The graph of g(x) is a vertical shrink of the graph of f(x), with the k value between 0 and 1. c The graph of g(x) is a vertical stretch of the graph of f(x), with the k value greater than 1. d The graph of g(x) is a vertical stretch of the graph of f(x), with the k value less than −1.

The graph of f(x) is transformed into the graph of g(x), such that g(x) = k ⋅ …

a large rectangle is made by joining 3 identical small rectangles the perimeter of 1 small rectangle is 21cm the width of 1 small rectangle is xcm work out the perimeter of the larger rectangle

a large rectangle is made by joining 3 identical small rectangles the perimet…

The table shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. x f(x) g(x) 2 9 9 3 15 27 4 23 81 5 33 243 Which function is most likely increasing quadratically? a g(x), because it will not intersect f(x) b g(x), because it grows slower than f(x) c f(x), because it grows faster than g(x) d f(x), because it grows slower than g(x)

The table shows the values of f(x) and g(x) for different values of x. One of …