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1. Draw the graph of the function f(x) = 2[x] for the domain -2 < x ≤ 1.
2. Consider the function f(x) = 1/3x + 2.
(a) Find the inverse of and name it . Show and explain your work.
(b) Use function composition to show that and are inverses of each other.
(c) Draw the graphs of f(x) and on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.
3. A swimmer floats on the surface of a completely filled 10-foot deep pool for 5 seconds. He then takes 3 seconds to swim to the bottom of the pool and 2 seconds to return to the surface, where he then floats for another 5 seconds. After that, his watch slips off and he swims halfway to the bottom to grab it. It took him 1 second to grab the watch and another 1 second to swim back to the surface.
Draw a graph that models the swimmer's depth below the water's surface over time.
Graph the function by making a table of coordinates.
Write the equation of the line that passes through point (0, -5) with a slope of 7.
A health club asked the dietitian to prepare 600 ounces of a nutritional drink containing 5.5 grams of carbohydrates per ounces. The dietitian has a nutritional drink containing 5.0 grams per ounces & one that contains 5.8 grams of carbohydrate per o..
Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.
Total annual rainfall in the town of Spring Valley follows a normal distribution. The average annual rainfall is 18 inches, with a standard deviation of 6 inches. In one particular year
D2. Explain the relationship between the x and y intercepts and the general form of a quadratic function. Then demonstrate this relationship in the following:
Which year had the greatest number of stray cats? Between which two years did the greatest increase in the number of stray cats occur?
Exhibit the vertex and y-intercept for the quadratic expression y = x^2 - 4. How many zeros does this expression have? Exhibit those ordered pairs which constitute these zeros.
at the beginning of the year nicole has 5000 in her checking account. she receives a 1000 paycheck from her job each
Use the substitution method to solve the system:x-2y=32x+3y=13
Calculate the maximum or minimum value.
1. at a local community college it costs 350 to enroll in a morning section of an algebra course. suppose that the
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