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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.
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
Identify the sample and suggest a population
Evaluate the ratios and check are the ratios equivalent.
Define variables and profit function
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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