The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the function C(n) = (600 +115n) /n , where C is the annual cost, in dollars, and n is the number of years. Sketch a graph of C versus n for the entire function in a paper-pencil style. Clearly label the axes, scale on both axes, the asymptote(s), and the intercept(s).

Starting with the graph of f(x) 6", write the equation of the graph that results from a. shifting f(x) 5 units left. y = b. shifting f(x) 5 units downward. y = c. reflecting f(x) about the x-axis and the y-axis. y =

A population of 490000 microbes increases at the continuous rate of 12% per day. Draw the graph of a function that models the situation.  The vertical (y) intercept is:

Graph the equation: f(x) = (x+1)^3 - 5 Please include coordinates as well as vertical shift/compression and horizontal stretch/compression amounts.

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.)

Graph the following function f(x) = −2cos(4x + 180) + 3 by hand on a grid paper. Be sure to state the amplitude, period, phase shift, and equation of midline/axis of curve. Be sure to clearly show your scale on the x and y axes.

Once to the top of El Capitan, 3,000ft hight, he used a rope to propel down. He descended at a rate of 75ft per minute.  Write a fucntion f(x) to represent the height of the Alex Hannold as a function of time.

Sketch a graph of the function g(x)=-2sin(1/4x - pi/4)+1. Be sure to label the scale on the axes and draw at least two cycles.