1. Identify the equation of the graphed piecewise defined function: 14 12 10 8- 2. 4. -3 -2 -2 4 6 to 10- 12

Determine if the following functions are one-to-one by inspecting their graphs using the Vertical line test (VLT) and the Horizontal Line Test (HLT). You do not need to sketch the graphs. I am still have troubling solving these one...  16.) Y= 2x^3-4x^2-3x+517.) Y=x^2, X greater than or equal to 0

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)

Consider the graph of the function y=0.111111x^2 -1. This graph has two x-intercepts: negative and positive.   a. What is the negative x intercept on this graph b. What is the postive x intercept on this graph  c. What is the y intercept on this graph

The projected population of the United States for the years 2025 through 2055 can be modeled by  P = 307.58e0.0052t,  where P is the population (in millions) and t is the time (in years), with  t = 25  corresponding to 2025. (a) Use a graphing utility to graph the function for the years 2025 through 2055.

6. Indicate verbally how the graph of each function relates to the graph of one of the six basic functions then draw the graph. = (x - 3)2 7 b) y 5 c) y = V-x+2 - 3. а) у %3D = -

4. a) Determine an equation for a family of functions with zeros at 1 ± √5, −3, and 1/3. b) Determine an equation for the family member whose graph passes through the point (-2,-7). (2.4 12)

10. A ball is thrown upward from the roof of a 25 m building. The ball reaches a A height of 45 m above the ground after 2 s and hits the ground 5 s after being thrown. a) Sketch a graph that shows the height of the ball as a function of time. b) State the domain and range of the function. c) Determine an equation for the function.

The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the number of years since the computer was purchased. Which function best represents the value of the computer in months? OA V (m) = 1300(.9596)" O B. V (m) = 1300(.00265)" o C. V (m) = 1300(1.956)" m O D V (m) = 1300(2.650)"

Explain how to interpret the initial value in a word problem that uses a linear function.