Chapter 5.3, Problem 10QR

Match the function with one of the graphs in the figure below.

The graphs of the functions y f(x), y g(x), and y h(x) are shown below. Each function is transformed into y= /f(x), y /g(x), and y = /h(x), respectively. Diagram 1 Diagram 2 Diagram 3 y 6. 4 (4.4) 2. (4.1 10 -2 + 810 10 (4.-4) 13. The number of invariant points on the original graph and its transformed graph for Diagram 1 is Diagram 2 is and thee Diagram 3 is

Can someone help me with these graphs?

10.) The graph f(x) = (x + 1)" – 7is translated 3 units right, resulting in the graph g(x). Write an equation that represents the new function, g(x). %3D

14.1 Sketch the graph of the function (shown in the image). Demonstrate all the steps of your reasoning.

Kx A+x is used in biology to give the growth rate of a population in the presence of a quantity x of food. This is called Michaelis-Menten kinetics. The function f(x) = a. What is a reasonable domain for this function, considering what x represents? b. Graph this function for K = 9 and A=4. c. Show that y=K is a horizontal asymptote. d. What do you think K represents? e. Show that A represents the quantity of food for which the growth rate is half of its maximum. a. A reasonable domain for this function is (Type your answer in interval notation.) SEP 5 7

8:51 PM Tue May 18 Done *e 53% Part III: Use the graph of f(x) to sketch the graphs of the following. 18) y=f(x)-3 y = f(x) 하 6 3- 3 -5 -4 -3 - 45 3 -3 -4 5- 654 24

7 The height, dcm, that a toy rollercoaster reaches after t seconds can be modelled by the function d(t) = 0.2t³ - 2t² + 5.8t + 5. Explain whether or not this is a realistic model and justify your answer.

2. Given g(x) =- ft(* - 3)) – 5where f(x) = 2" a. Write the equation of the transformed function b. Graph the transformed function. Be sure to show all steps! c. State the domain ana range of the function -10